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Finding the Fourth Proportional to 490.23, 676.28 and 324.58

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Solution

The fourth proportional to 490.23, 676.28 and 324.58 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 676.28 = 324.58 : x
  2. Step 2: Convert to fraction form
    490.23/676.28 = 324.58/x
  3. Step 3: Cross multiply
    490.23x = 676.28 × 324.58
  4. Step 4: Simplify right side
    490.23x = 219,508.57
  5. Step 5: Solve for x
    x = 219,508.57/490.23
  6. Step 6: Final answer
    x = 447.77

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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.