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Finding the Fourth Proportional to 381.56, 572.42 and 227.62

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Solution

The fourth proportional to 381.56, 572.42 and 227.62 is: 341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.56 : 572.42 = 227.62 : x
  2. Step 2: Convert to fraction form
    381.56/572.42 = 227.62/x
  3. Step 3: Cross multiply
    381.56x = 572.42 × 227.62
  4. Step 4: Simplify right side
    381.56x = 130,294.24
  5. Step 5: Solve for x
    x = 130,294.24/381.56
  6. Step 6: Final answer
    x = 341.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.