Finding the Fourth Proportional to 306.14, 422.20 and 201.26
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Solution
The fourth proportional to 306.14, 422.20 and 201.26 is: 277.56
Step by Step Solution
- Step 1: Write the proportion equation
306.14 : 422.20 = 201.26 : x - Step 2: Convert to fraction form
306.14/422.20 = 201.26/x - Step 3: Cross multiply
306.14x = 422.20 × 201.26 - Step 4: Simplify right side
306.14x = 84,971.97 - Step 5: Solve for x
x = 84,971.97/306.14 - Step 6: Final answer
x = 277.56
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.