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Finding the Fourth Proportional to 494.97, 743.15 and 251.67

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Solution

The fourth proportional to 494.97, 743.15 and 251.67 is: 377.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.97 : 743.15 = 251.67 : x
  2. Step 2: Convert to fraction form
    494.97/743.15 = 251.67/x
  3. Step 3: Cross multiply
    494.97x = 743.15 × 251.67
  4. Step 4: Simplify right side
    494.97x = 187,028.56
  5. Step 5: Solve for x
    x = 187,028.56/494.97
  6. Step 6: Final answer
    x = 377.86

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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.