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Finding the Fourth Proportional to 251.73, 377.10 and 200.13

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Solution

The fourth proportional to 251.73, 377.10 and 200.13 is: 299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.73 : 377.10 = 200.13 : x
  2. Step 2: Convert to fraction form
    251.73/377.10 = 200.13/x
  3. Step 3: Cross multiply
    251.73x = 377.10 × 200.13
  4. Step 4: Simplify right side
    251.73x = 75,469.02
  5. Step 5: Solve for x
    x = 75,469.02/251.73
  6. Step 6: Final answer
    x = 299.80

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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.