Finding the Fourth Proportional to 77.24, 106.68 and 63.44
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Solution
The fourth proportional to 77.24, 106.68 and 63.44 is: 87.62
Step by Step Solution
- Step 1: Write the proportion equation
77.24 : 106.68 = 63.44 : x - Step 2: Convert to fraction form
77.24/106.68 = 63.44/x - Step 3: Cross multiply
77.24x = 106.68 × 63.44 - Step 4: Simplify right side
77.24x = 6,767.78 - Step 5: Solve for x
x = 6,767.78/77.24 - Step 6: Final answer
x = 87.62
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.