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Finding the Fourth Proportional to 168.67, 252.60 and 103.71

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Solution

The fourth proportional to 168.67, 252.60 and 103.71 is: 155.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.67 : 252.60 = 103.71 : x
  2. Step 2: Convert to fraction form
    168.67/252.60 = 103.71/x
  3. Step 3: Cross multiply
    168.67x = 252.60 × 103.71
  4. Step 4: Simplify right side
    168.67x = 26,197.15
  5. Step 5: Solve for x
    x = 26,197.15/168.67
  6. Step 6: Final answer
    x = 155.32

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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.