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Finding the Fourth Proportional to 324.90, 447.24 and 269.55

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Solution

The fourth proportional to 324.90, 447.24 and 269.55 is: 371.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.90 : 447.24 = 269.55 : x
  2. Step 2: Convert to fraction form
    324.90/447.24 = 269.55/x
  3. Step 3: Cross multiply
    324.90x = 447.24 × 269.55
  4. Step 4: Simplify right side
    324.90x = 120,553.54
  5. Step 5: Solve for x
    x = 120,553.54/324.90
  6. Step 6: Final answer
    x = 371.05

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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.