Finding the Fourth Proportional to 154.92, 232.08 and 97.14
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Solution
The fourth proportional to 154.92, 232.08 and 97.14 is: 145.52
Step by Step Solution
- Step 1: Write the proportion equation
154.92 : 232.08 = 97.14 : x - Step 2: Convert to fraction form
154.92/232.08 = 97.14/x - Step 3: Cross multiply
154.92x = 232.08 × 97.14 - Step 4: Simplify right side
154.92x = 22,544.25 - Step 5: Solve for x
x = 22,544.25/154.92 - Step 6: Final answer
x = 145.52
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.