Finding the Fourth Proportional to 122.13, 182.84 and 101.75
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Solution
The fourth proportional to 122.13, 182.84 and 101.75 is: 152.33
Step by Step Solution
- Step 1: Write the proportion equation
122.13 : 182.84 = 101.75 : x - Step 2: Convert to fraction form
122.13/182.84 = 101.75/x - Step 3: Cross multiply
122.13x = 182.84 × 101.75 - Step 4: Simplify right side
122.13x = 18,603.97 - Step 5: Solve for x
x = 18,603.97/122.13 - Step 6: Final answer
x = 152.33
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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.