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Finding the Fourth Proportional to 490.50, 676.92 and 280.68

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Solution

The fourth proportional to 490.50, 676.92 and 280.68 is: 387.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 676.92 = 280.68 : x
  2. Step 2: Convert to fraction form
    490.50/676.92 = 280.68/x
  3. Step 3: Cross multiply
    490.50x = 676.92 × 280.68
  4. Step 4: Simplify right side
    490.50x = 189,997.91
  5. Step 5: Solve for x
    x = 189,997.91/490.50
  6. Step 6: Final answer
    x = 387.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.