Finding the Fourth Proportional to 97.51, 146.14 and 77.14
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Solution
The fourth proportional to 97.51, 146.14 and 77.14 is: 115.61
Step by Step Solution
- Step 1: Write the proportion equation
97.51 : 146.14 = 77.14 : x - Step 2: Convert to fraction form
97.51/146.14 = 77.14/x - Step 3: Cross multiply
97.51x = 146.14 × 77.14 - Step 4: Simplify right side
97.51x = 11,273.24 - Step 5: Solve for x
x = 11,273.24/97.51 - Step 6: Final answer
x = 115.61
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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.