Finding the Fourth Proportional to 122.11, 182.97 and 91.65
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Solution
The fourth proportional to 122.11, 182.97 and 91.65 is: 137.33
Step by Step Solution
- Step 1: Write the proportion equation
122.11 : 182.97 = 91.65 : x - Step 2: Convert to fraction form
122.11/182.97 = 91.65/x - Step 3: Cross multiply
122.11x = 182.97 × 91.65 - Step 4: Simplify right side
122.11x = 16,769.20 - Step 5: Solve for x
x = 16,769.20/122.11 - Step 6: Final answer
x = 137.33
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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.