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Finding the Fourth Proportional to 490.01, 676.17 and 324.27

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Solution

The fourth proportional to 490.01, 676.17 and 324.27 is: 447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.01 : 676.17 = 324.27 : x
  2. Step 2: Convert to fraction form
    490.01/676.17 = 324.27/x
  3. Step 3: Cross multiply
    490.01x = 676.17 × 324.27
  4. Step 4: Simplify right side
    490.01x = 219,261.65
  5. Step 5: Solve for x
    x = 219,261.65/490.01
  6. Step 6: Final answer
    x = 447.47

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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.