Finding the Fourth Proportional to 77.14, 115.75 and 44.62
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Solution
The fourth proportional to 77.14, 115.75 and 44.62 is: 66.95
Step by Step Solution
- Step 1: Write the proportion equation
77.14 : 115.75 = 44.62 : x - Step 2: Convert to fraction form
77.14/115.75 = 44.62/x - Step 3: Cross multiply
77.14x = 115.75 × 44.62 - Step 4: Simplify right side
77.14x = 5,164.24 - Step 5: Solve for x
x = 5,164.24/77.14 - Step 6: Final answer
x = 66.95
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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.