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Finding the Fourth Proportional to 270.57, 404.24 and 224.55

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Solution

The fourth proportional to 270.57, 404.24 and 224.55 is: 335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.57 : 404.24 = 224.55 : x
  2. Step 2: Convert to fraction form
    270.57/404.24 = 224.55/x
  3. Step 3: Cross multiply
    270.57x = 404.24 × 224.55
  4. Step 4: Simplify right side
    270.57x = 90,770.97
  5. Step 5: Solve for x
    x = 90,770.97/270.57
  6. Step 6: Final answer
    x = 335.48

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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.