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Finding the Fourth Proportional to 324.76, 442.17 and 323.73

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Solution

The fourth proportional to 324.76, 442.17 and 323.73 is: 440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.76 : 442.17 = 323.73 : x
  2. Step 2: Convert to fraction form
    324.76/442.17 = 323.73/x
  3. Step 3: Cross multiply
    324.76x = 442.17 × 323.73
  4. Step 4: Simplify right side
    324.76x = 143,143.69
  5. Step 5: Solve for x
    x = 143,143.69/324.76
  6. Step 6: Final answer
    x = 440.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.