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Finding the Fourth Proportional to 490.28, 676.62 and 324.20

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Solution

The fourth proportional to 490.28, 676.62 and 324.20 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.28 : 676.62 = 324.20 : x
  2. Step 2: Convert to fraction form
    490.28/676.62 = 324.20/x
  3. Step 3: Cross multiply
    490.28x = 676.62 × 324.20
  4. Step 4: Simplify right side
    490.28x = 219,358.58
  5. Step 5: Solve for x
    x = 219,358.58/490.28
  6. Step 6: Final answer
    x = 447.42

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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.