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Finding the Fourth Proportional to 323.37, 481.69 and 322.76

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Solution

The fourth proportional to 323.37, 481.69 and 322.76 is: 480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.37 : 481.69 = 322.76 : x
  2. Step 2: Convert to fraction form
    323.37/481.69 = 322.76/x
  3. Step 3: Cross multiply
    323.37x = 481.69 × 322.76
  4. Step 4: Simplify right side
    323.37x = 155,470.26
  5. Step 5: Solve for x
    x = 155,470.26/323.37
  6. Step 6: Final answer
    x = 480.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.