Finding the Fourth Proportional to 77.09, 115.67 and 63.92
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Solution
The fourth proportional to 77.09, 115.67 and 63.92 is: 95.92
Step by Step Solution
- Step 1: Write the proportion equation
77.09 : 115.67 = 63.92 : x - Step 2: Convert to fraction form
77.09/115.67 = 63.92/x - Step 3: Cross multiply
77.09x = 115.67 × 63.92 - Step 4: Simplify right side
77.09x = 7,394.08 - Step 5: Solve for x
x = 7,394.08/77.09 - Step 6: Final answer
x = 95.92
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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.