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Finding the Fourth Proportional to 323.76, 440.81 and 322.73

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Solution

The fourth proportional to 323.76, 440.81 and 322.73 is: 439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.76 : 440.81 = 322.73 : x
  2. Step 2: Convert to fraction form
    323.76/440.81 = 322.73/x
  3. Step 3: Cross multiply
    323.76x = 440.81 × 322.73
  4. Step 4: Simplify right side
    323.76x = 142,264.52
  5. Step 5: Solve for x
    x = 142,264.52/323.76
  6. Step 6: Final answer
    x = 439.41

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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.