Finding the Fourth Proportional to 97.70, 134.91 and 97.02
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Solution
The fourth proportional to 97.70, 134.91 and 97.02 is: 133.98
Step by Step Solution
- Step 1: Write the proportion equation
97.70 : 134.91 = 97.02 : x - Step 2: Convert to fraction form
97.70/134.91 = 97.02/x - Step 3: Cross multiply
97.70x = 134.91 × 97.02 - Step 4: Simplify right side
97.70x = 13,088.97 - Step 5: Solve for x
x = 13,088.97/97.70 - Step 6: Final answer
x = 133.98
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.