Finding the Fourth Proportional to 77.18, 115.97 and 69.14
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Solution
The fourth proportional to 77.18, 115.97 and 69.14 is: 103.88
Step by Step Solution
- Step 1: Write the proportion equation
77.18 : 115.97 = 69.14 : x - Step 2: Convert to fraction form
77.18/115.97 = 69.14/x - Step 3: Cross multiply
77.18x = 115.97 × 69.14 - Step 4: Simplify right side
77.18x = 8,017.24 - Step 5: Solve for x
x = 8,017.24/77.18 - Step 6: Final answer
x = 103.88
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.