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Finding the Fourth Proportional to 168.40, 252.68 and 139.44

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Solution

The fourth proportional to 168.40, 252.68 and 139.44 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.40 : 252.68 = 139.44 : x
  2. Step 2: Convert to fraction form
    168.40/252.68 = 139.44/x
  3. Step 3: Cross multiply
    168.40x = 252.68 × 139.44
  4. Step 4: Simplify right side
    168.40x = 35,233.70
  5. Step 5: Solve for x
    x = 35,233.70/168.40
  6. Step 6: Final answer
    x = 209.23

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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.