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Finding the Fourth Proportional to 227.49, 338.97 and 217.86

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Solution

The fourth proportional to 227.49, 338.97 and 217.86 is: 324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.49 : 338.97 = 217.86 : x
  2. Step 2: Convert to fraction form
    227.49/338.97 = 217.86/x
  3. Step 3: Cross multiply
    227.49x = 338.97 × 217.86
  4. Step 4: Simplify right side
    227.49x = 73,848.73
  5. Step 5: Solve for x
    x = 73,848.73/227.49
  6. Step 6: Final answer
    x = 324.62

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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.