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Finding the Fourth Proportional to 414.38, 571.90 and 237.41

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Solution

The fourth proportional to 414.38, 571.90 and 237.41 is: 327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.38 : 571.90 = 237.41 : x
  2. Step 2: Convert to fraction form
    414.38/571.90 = 237.41/x
  3. Step 3: Cross multiply
    414.38x = 571.90 × 237.41
  4. Step 4: Simplify right side
    414.38x = 135,774.78
  5. Step 5: Solve for x
    x = 135,774.78/414.38
  6. Step 6: Final answer
    x = 327.66

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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.