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Finding the Fourth Proportional to 325.06, 489.33 and 280.42

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Solution

The fourth proportional to 325.06, 489.33 and 280.42 is: 422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.06 : 489.33 = 280.42 : x
  2. Step 2: Convert to fraction form
    325.06/489.33 = 280.42/x
  3. Step 3: Cross multiply
    325.06x = 489.33 × 280.42
  4. Step 4: Simplify right side
    325.06x = 137,217.92
  5. Step 5: Solve for x
    x = 137,217.92/325.06
  6. Step 6: Final answer
    x = 422.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.