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Finding the Fourth Proportional to 251.52, 376.76 and 200.24

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Solution

The fourth proportional to 251.52, 376.76 and 200.24 is: 299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.52 : 376.76 = 200.24 : x
  2. Step 2: Convert to fraction form
    251.52/376.76 = 200.24/x
  3. Step 3: Cross multiply
    251.52x = 376.76 × 200.24
  4. Step 4: Simplify right side
    251.52x = 75,442.42
  5. Step 5: Solve for x
    x = 75,442.42/251.52
  6. Step 6: Final answer
    x = 299.95

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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.