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Finding the Fourth Proportional to 326.20, 489.06 and 239.44

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Solution

The fourth proportional to 326.20, 489.06 and 239.44 is: 358.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.20 : 489.06 = 239.44 : x
  2. Step 2: Convert to fraction form
    326.20/489.06 = 239.44/x
  3. Step 3: Cross multiply
    326.20x = 489.06 × 239.44
  4. Step 4: Simplify right side
    326.20x = 117,100.53
  5. Step 5: Solve for x
    x = 117,100.53/326.20
  6. Step 6: Final answer
    x = 358.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.