Finding the Fourth Proportional to 77.28, 115.79 and 74.44
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Solution
The fourth proportional to 77.28, 115.79 and 74.44 is: 111.53
Step by Step Solution
- Step 1: Write the proportion equation
77.28 : 115.79 = 74.44 : x - Step 2: Convert to fraction form
77.28/115.79 = 74.44/x - Step 3: Cross multiply
77.28x = 115.79 × 74.44 - Step 4: Simplify right side
77.28x = 8,619.41 - Step 5: Solve for x
x = 8,619.41/77.28 - Step 6: Final answer
x = 111.53
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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.