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Finding the Fourth Proportional to 224.90, 311.01 and 169.62

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Solution

The fourth proportional to 224.90, 311.01 and 169.62 is: 234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.90 : 311.01 = 169.62 : x
  2. Step 2: Convert to fraction form
    224.90/311.01 = 169.62/x
  3. Step 3: Cross multiply
    224.90x = 311.01 × 169.62
  4. Step 4: Simplify right side
    224.90x = 52,753.52
  5. Step 5: Solve for x
    x = 52,753.52/224.90
  6. Step 6: Final answer
    x = 234.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.