Finding the Fourth Proportional to 77.05, 115.60 and 25.70
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Solution
The fourth proportional to 77.05, 115.60 and 25.70 is: 38.56
Step by Step Solution
- Step 1: Write the proportion equation
77.05 : 115.60 = 25.70 : x - Step 2: Convert to fraction form
77.05/115.60 = 25.70/x - Step 3: Cross multiply
77.05x = 115.60 × 25.70 - Step 4: Simplify right side
77.05x = 2,970.92 - Step 5: Solve for x
x = 2,970.92/77.05 - Step 6: Final answer
x = 38.56
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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.