Finding the Fourth Proportional to 113.95, 157.26 and 77.17
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Solution
The fourth proportional to 113.95, 157.26 and 77.17 is: 106.50
Step by Step Solution
- Step 1: Write the proportion equation
113.95 : 157.26 = 77.17 : x - Step 2: Convert to fraction form
113.95/157.26 = 77.17/x - Step 3: Cross multiply
113.95x = 157.26 × 77.17 - Step 4: Simplify right side
113.95x = 12,135.75 - Step 5: Solve for x
x = 12,135.75/113.95 - Step 6: Final answer
x = 106.50
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.