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Finding the Fourth Proportional to 321.24, 481.78 and 269.92

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Solution

The fourth proportional to 321.24, 481.78 and 269.92 is: 404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.24 : 481.78 = 269.92 : x
  2. Step 2: Convert to fraction form
    321.24/481.78 = 269.92/x
  3. Step 3: Cross multiply
    321.24x = 481.78 × 269.92
  4. Step 4: Simplify right side
    321.24x = 130,042.06
  5. Step 5: Solve for x
    x = 130,042.06/321.24
  6. Step 6: Final answer
    x = 404.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.