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Finding the Fourth Proportional to 237.72, 354.20 and 227.24

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Solution

The fourth proportional to 237.72, 354.20 and 227.24 is: 338.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.72 : 354.20 = 227.24 : x
  2. Step 2: Convert to fraction form
    237.72/354.20 = 227.24/x
  3. Step 3: Cross multiply
    237.72x = 354.20 × 227.24
  4. Step 4: Simplify right side
    237.72x = 80,487.21
  5. Step 5: Solve for x
    x = 80,487.21/237.72
  6. Step 6: Final answer
    x = 338.58

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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.