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Finding the Fourth Proportional to 168.67, 251.22 and 161.17

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Solution

The fourth proportional to 168.67, 251.22 and 161.17 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 251.22 = 161.17 : x
  2. Step 2: Convert to fraction form
    168.67/251.22 = 161.17/x
  3. Step 3: Cross multiply
    168.67x = 251.22 × 161.17
  4. Step 4: Simplify right side
    168.67x = 40,489.13
  5. Step 5: Solve for x
    x = 40,489.13/168.67
  6. Step 6: Final answer
    x = 240.06

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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.