Finding the Fourth Proportional to 77.31, 115.86 and 43.08
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Solution
The fourth proportional to 77.31, 115.86 and 43.08 is: 64.56
Step by Step Solution
- Step 1: Write the proportion equation
77.31 : 115.86 = 43.08 : x - Step 2: Convert to fraction form
77.31/115.86 = 43.08/x - Step 3: Cross multiply
77.31x = 115.86 × 43.08 - Step 4: Simplify right side
77.31x = 4,991.25 - Step 5: Solve for x
x = 4,991.25/77.31 - Step 6: Final answer
x = 64.56
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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.