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Finding the Fourth Proportional to 326.44, 489.97 and 234.71

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Solution

The fourth proportional to 326.44, 489.97 and 234.71 is: 352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.44 : 489.97 = 234.71 : x
  2. Step 2: Convert to fraction form
    326.44/489.97 = 234.71/x
  3. Step 3: Cross multiply
    326.44x = 489.97 × 234.71
  4. Step 4: Simplify right side
    326.44x = 115,000.54
  5. Step 5: Solve for x
    x = 115,000.54/326.44
  6. Step 6: Final answer
    x = 352.29

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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.