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Finding the Fourth Proportional to 169.12, 251.76 and 168.21

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Solution

The fourth proportional to 169.12, 251.76 and 168.21 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.12 : 251.76 = 168.21 : x
  2. Step 2: Convert to fraction form
    169.12/251.76 = 168.21/x
  3. Step 3: Cross multiply
    169.12x = 251.76 × 168.21
  4. Step 4: Simplify right side
    169.12x = 42,348.55
  5. Step 5: Solve for x
    x = 42,348.55/169.12
  6. Step 6: Final answer
    x = 250.41

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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.