Finding the Fourth Proportional to 79.92, 120.08 and 77.49
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Solution
The fourth proportional to 79.92, 120.08 and 77.49 is: 116.43
Step by Step Solution
- Step 1: Write the proportion equation
79.92 : 120.08 = 77.49 : x - Step 2: Convert to fraction form
79.92/120.08 = 77.49/x - Step 3: Cross multiply
79.92x = 120.08 × 77.49 - Step 4: Simplify right side
79.92x = 9,305.19 - Step 5: Solve for x
x = 9,305.19/79.92 - Step 6: Final answer
x = 116.43
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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.