Finding the Fourth Proportional to 252.17, 378.08 and 97.97
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Solution
The fourth proportional to 252.17, 378.08 and 97.97 is: 146.88
Step by Step Solution
- Step 1: Write the proportion equation
252.17 : 378.08 = 97.97 : x - Step 2: Convert to fraction form
252.17/378.08 = 97.97/x - Step 3: Cross multiply
252.17x = 378.08 × 97.97 - Step 4: Simplify right side
252.17x = 37,038.12 - Step 5: Solve for x
x = 37,038.12/252.17 - Step 6: Final answer
x = 146.88
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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.