Finding the Fourth Proportional to 77.25, 115.74 and 58.95
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Solution
The fourth proportional to 77.25, 115.74 and 58.95 is: 88.32
Step by Step Solution
- Step 1: Write the proportion equation
77.25 : 115.74 = 58.95 : x - Step 2: Convert to fraction form
77.25/115.74 = 58.95/x - Step 3: Cross multiply
77.25x = 115.74 × 58.95 - Step 4: Simplify right side
77.25x = 6,822.87 - Step 5: Solve for x
x = 6,822.87/77.25 - Step 6: Final answer
x = 88.32
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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.