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Finding the Fourth Proportional to 231.52, 345.32 and 227.20

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Solution

The fourth proportional to 231.52, 345.32 and 227.20 is: 338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.52 : 345.32 = 227.20 : x
  2. Step 2: Convert to fraction form
    231.52/345.32 = 227.20/x
  3. Step 3: Cross multiply
    231.52x = 345.32 × 227.20
  4. Step 4: Simplify right side
    231.52x = 78,456.70
  5. Step 5: Solve for x
    x = 78,456.70/231.52
  6. Step 6: Final answer
    x = 338.88

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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.