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Finding the Fourth Proportional to 326.50, 489.92 and 249.95

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Solution

The fourth proportional to 326.50, 489.92 and 249.95 is: 375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 489.92 = 249.95 : x
  2. Step 2: Convert to fraction form
    326.50/489.92 = 249.95/x
  3. Step 3: Cross multiply
    326.50x = 489.92 × 249.95
  4. Step 4: Simplify right side
    326.50x = 122,454.25
  5. Step 5: Solve for x
    x = 122,454.25/326.50
  6. Step 6: Final answer
    x = 375.06

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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.