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Finding the Fourth Proportional to 168.57, 251.08 and 161.08

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Solution

The fourth proportional to 168.57, 251.08 and 161.08 is: 239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.57 : 251.08 = 161.08 : x
  2. Step 2: Convert to fraction form
    168.57/251.08 = 161.08/x
  3. Step 3: Cross multiply
    168.57x = 251.08 × 161.08
  4. Step 4: Simplify right side
    168.57x = 40,442.94
  5. Step 5: Solve for x
    x = 40,442.94/168.57
  6. Step 6: Final answer
    x = 239.91

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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.