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Finding the Fourth Proportional to 168.78, 251.39 and 160.88

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Solution

The fourth proportional to 168.78, 251.39 and 160.88 is: 239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.78 : 251.39 = 160.88 : x
  2. Step 2: Convert to fraction form
    168.78/251.39 = 160.88/x
  3. Step 3: Cross multiply
    168.78x = 251.39 × 160.88
  4. Step 4: Simplify right side
    168.78x = 40,441.96
  5. Step 5: Solve for x
    x = 40,441.96/168.78
  6. Step 6: Final answer
    x = 239.62

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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.