Finding the Fourth Proportional to 76.92, 115.14 and 73.08
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Solution
The fourth proportional to 76.92, 115.14 and 73.08 is: 109.39
Step by Step Solution
- Step 1: Write the proportion equation
76.92 : 115.14 = 73.08 : x - Step 2: Convert to fraction form
76.92/115.14 = 73.08/x - Step 3: Cross multiply
76.92x = 115.14 × 73.08 - Step 4: Simplify right side
76.92x = 8,414.43 - Step 5: Solve for x
x = 8,414.43/76.92 - Step 6: Final answer
x = 109.39
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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.