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Finding the Fourth Proportional to 237.20, 354.11 and 200.74

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Solution

The fourth proportional to 237.20, 354.11 and 200.74 is: 299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 354.11 = 200.74 : x
  2. Step 2: Convert to fraction form
    237.20/354.11 = 200.74/x
  3. Step 3: Cross multiply
    237.20x = 354.11 × 200.74
  4. Step 4: Simplify right side
    237.20x = 71,083.04
  5. Step 5: Solve for x
    x = 71,083.04/237.20
  6. Step 6: Final answer
    x = 299.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.