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Finding the Fourth Proportional to 490.25, 676.51 and 280.43

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Solution

The fourth proportional to 490.25, 676.51 and 280.43 is: 386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 676.51 = 280.43 : x
  2. Step 2: Convert to fraction form
    490.25/676.51 = 280.43/x
  3. Step 3: Cross multiply
    490.25x = 676.51 × 280.43
  4. Step 4: Simplify right side
    490.25x = 189,714.69
  5. Step 5: Solve for x
    x = 189,714.69/490.25
  6. Step 6: Final answer
    x = 386.97

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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.