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Finding the Fourth Proportional to 274.59, 411.22 and 158.78

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Solution

The fourth proportional to 274.59, 411.22 and 158.78 is: 237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.59 : 411.22 = 158.78 : x
  2. Step 2: Convert to fraction form
    274.59/411.22 = 158.78/x
  3. Step 3: Cross multiply
    274.59x = 411.22 × 158.78
  4. Step 4: Simplify right side
    274.59x = 65,294.74
  5. Step 5: Solve for x
    x = 65,294.74/274.59
  6. Step 6: Final answer
    x = 237.79

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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.