Finding the Fourth Proportional to 77.68, 107.10 and 63.70
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Solution
The fourth proportional to 77.68, 107.10 and 63.70 is: 87.83
Step by Step Solution
- Step 1: Write the proportion equation
77.68 : 107.10 = 63.70 : x - Step 2: Convert to fraction form
77.68/107.10 = 63.70/x - Step 3: Cross multiply
77.68x = 107.10 × 63.70 - Step 4: Simplify right side
77.68x = 6,822.27 - Step 5: Solve for x
x = 6,822.27/77.68 - Step 6: Final answer
x = 87.83
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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.