Finding the Fourth Proportional to 122.87, 183.63 and 113.14
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Solution
The fourth proportional to 122.87, 183.63 and 113.14 is: 169.09
Step by Step Solution
- Step 1: Write the proportion equation
122.87 : 183.63 = 113.14 : x - Step 2: Convert to fraction form
122.87/183.63 = 113.14/x - Step 3: Cross multiply
122.87x = 183.63 × 113.14 - Step 4: Simplify right side
122.87x = 20,775.26 - Step 5: Solve for x
x = 20,775.26/122.87 - Step 6: Final answer
x = 169.09
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.