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Finding the Fourth Proportional to 168.73, 253.17 and 71.21

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Solution

The fourth proportional to 168.73, 253.17 and 71.21 is: 106.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.73 : 253.17 = 71.21 : x
  2. Step 2: Convert to fraction form
    168.73/253.17 = 71.21/x
  3. Step 3: Cross multiply
    168.73x = 253.17 × 71.21
  4. Step 4: Simplify right side
    168.73x = 18,028.24
  5. Step 5: Solve for x
    x = 18,028.24/168.73
  6. Step 6: Final answer
    x = 106.85

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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.