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Finding the Fourth Proportional to 281.38, 423.98 and 251.90

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Solution

The fourth proportional to 281.38, 423.98 and 251.90 is: 379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.38 : 423.98 = 251.90 : x
  2. Step 2: Convert to fraction form
    281.38/423.98 = 251.90/x
  3. Step 3: Cross multiply
    281.38x = 423.98 × 251.90
  4. Step 4: Simplify right side
    281.38x = 106,800.56
  5. Step 5: Solve for x
    x = 106,800.56/281.38
  6. Step 6: Final answer
    x = 379.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.