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Finding the Fourth Proportional to 237.38, 327.42 and 217.78

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Solution

The fourth proportional to 237.38, 327.42 and 217.78 is: 300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.38 : 327.42 = 217.78 : x
  2. Step 2: Convert to fraction form
    237.38/327.42 = 217.78/x
  3. Step 3: Cross multiply
    237.38x = 327.42 × 217.78
  4. Step 4: Simplify right side
    237.38x = 71,306.05
  5. Step 5: Solve for x
    x = 71,306.05/237.38
  6. Step 6: Final answer
    x = 300.39

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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.