Finding the Fourth Proportional to 77.49, 106.97 and 63.68
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Solution
The fourth proportional to 77.49, 106.97 and 63.68 is: 87.90
Step by Step Solution
- Step 1: Write the proportion equation
77.49 : 106.97 = 63.68 : x - Step 2: Convert to fraction form
77.49/106.97 = 63.68/x - Step 3: Cross multiply
77.49x = 106.97 × 63.68 - Step 4: Simplify right side
77.49x = 6,811.00 - Step 5: Solve for x
x = 6,811.00/77.49 - Step 6: Final answer
x = 87.90
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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.