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Finding the Fourth Proportional to 819.48, 1,229.20 and 226.50

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Solution

The fourth proportional to 819.48, 1,229.20 and 226.50 is: 339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.48 : 1,229.20 = 226.50 : x
  2. Step 2: Convert to fraction form
    819.48/1,229.20 = 226.50/x
  3. Step 3: Cross multiply
    819.48x = 1,229.20 × 226.50
  4. Step 4: Simplify right side
    819.48x = 278,413.80
  5. Step 5: Solve for x
    x = 278,413.80/819.48
  6. Step 6: Final answer
    x = 339.74

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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.