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Finding the Fourth Proportional to 242.57, 334.31 and 200.90

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Solution

The fourth proportional to 242.57, 334.31 and 200.90 is: 276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.57 : 334.31 = 200.90 : x
  2. Step 2: Convert to fraction form
    242.57/334.31 = 200.90/x
  3. Step 3: Cross multiply
    242.57x = 334.31 × 200.90
  4. Step 4: Simplify right side
    242.57x = 67,160.20
  5. Step 5: Solve for x
    x = 67,160.20/242.57
  6. Step 6: Final answer
    x = 276.88

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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.