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Finding the Fourth Proportional to 392.20, 541.15 and 244.78

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Solution

The fourth proportional to 392.20, 541.15 and 244.78 is: 337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.20 : 541.15 = 244.78 : x
  2. Step 2: Convert to fraction form
    392.20/541.15 = 244.78/x
  3. Step 3: Cross multiply
    392.20x = 541.15 × 244.78
  4. Step 4: Simplify right side
    392.20x = 132,460.73
  5. Step 5: Solve for x
    x = 132,460.73/392.20
  6. Step 6: Final answer
    x = 337.74

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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.