Finding the Fourth Proportional to 77.08, 115.66 and 55.88
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Solution
The fourth proportional to 77.08, 115.66 and 55.88 is: 83.85
Step by Step Solution
- Step 1: Write the proportion equation
77.08 : 115.66 = 55.88 : x - Step 2: Convert to fraction form
77.08/115.66 = 55.88/x - Step 3: Cross multiply
77.08x = 115.66 × 55.88 - Step 4: Simplify right side
77.08x = 6,463.08 - Step 5: Solve for x
x = 6,463.08/77.08 - Step 6: Final answer
x = 83.85
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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.