In these worksheets, students will learn to solve story based proportion problems.

When you are dealing with proportions and ratios, there are different forms of them that you must learn. You already are familiar with numerical ratios, but are you familiar with word-based ones? Let us learn them today! Like word problems, story based proportions have to be converted into numerical ones to understand and resolve afterward. These proportions are presented in the form of statements with one element missing. Let us take an example. If ten inches correspond to 25.4 centimeters, how many centimeters are there in forty inches? You will have to set up the ratios with inches on top for your easiness and then use x for the centimeters that are missing. inches/centimeters = 10/25.4 = 40/x. The next step is to put x on one end of the equal sign and the rest of the lot on the other side. Now, you must make sure that you cross multiply each value on the other end. x = (40 × 25.4)/10 = 101.6.

A ratio is a comparison of two quantities. A proportion, which is an equation with a ratio on each side, states that two ratios are equal. Ratios and proportions can both be expressed in a variety of ways. They can be word based, they can be expressed as a numerical ratio, or they can be expressed as fractions. In these worksheets, your students will be working with proportions that are based on scenario. They will be presented with statements expressing proportion that each have one element missing. They will convert the narrative based proportion to a fraction that includes a variable (representing the element that is missing), solve for the variable, and then fill in the blank to complete each word based proportions problems. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, reviews, and quizzes. Ample worksheets are also provided for students to practice independently. When finished with this set of worksheets, students will be able to complete word based proportion problems. These worksheets explain how to work with proportions in this format. Sample problems are solved and practice problems are provided.

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Story Based Proportions Worksheets

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Word Based Proportions Lesson

This worksheet explains how to read into a situation and manipulate it to identify a solution. A sample problem is solved, and two practice problems are provided.


Students will complete word based proportions. Ten problems are provided.


Decide on the missing variable based on where you see your fit in the mix.


The concept of how to complete a series of set proportions is reviewed. A sample problem is solved and six practice problems are provided.


Students will demonstrate their proficiency with completing these problems sits with you. Ten problems are provided.


We decide upon a method of approach for some difficult situations.

Word Proportions Lesson

You will learn the progression that is needed to solve this problem in 3 steps. A sample problem is solved, and two practice problems are provided.


Use what you are given to solve for the missing variable.

Word Proportions Practice

You will get acess to ten questions that will push you to find the missing variable.

Word Proportions Review

These types of problems come in real handy on long trips to determine how many movies you should stream on the way.


Students will demonstrate their proficiency with all of the concepts that we have explored.


This is the last in the set to grasp a better handle on where you stand with the skill.