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Finding the Fourth Proportional to 327.95, 489.86 and 321.87

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Solution

The fourth proportional to 327.95, 489.86 and 321.87 is: 480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.95 : 489.86 = 321.87 : x
  2. Step 2: Convert to fraction form
    327.95/489.86 = 321.87/x
  3. Step 3: Cross multiply
    327.95x = 489.86 × 321.87
  4. Step 4: Simplify right side
    327.95x = 157,672.04
  5. Step 5: Solve for x
    x = 157,672.04/327.95
  6. Step 6: Final answer
    x = 480.79

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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.