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Finding the Fourth Proportional to 327.72, 489.03 and 322.68

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Solution

The fourth proportional to 327.72, 489.03 and 322.68 is: 481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.72 : 489.03 = 322.68 : x
  2. Step 2: Convert to fraction form
    327.72/489.03 = 322.68/x
  3. Step 3: Cross multiply
    327.72x = 489.03 × 322.68
  4. Step 4: Simplify right side
    327.72x = 157,800.20
  5. Step 5: Solve for x
    x = 157,800.20/327.72
  6. Step 6: Final answer
    x = 481.51

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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.