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Finding the Fourth Proportional to 299.97, 413.79 and 226.15

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Solution

The fourth proportional to 299.97, 413.79 and 226.15 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.97 : 413.79 = 226.15 : x
  2. Step 2: Convert to fraction form
    299.97/413.79 = 226.15/x
  3. Step 3: Cross multiply
    299.97x = 413.79 × 226.15
  4. Step 4: Simplify right side
    299.97x = 93,578.61
  5. Step 5: Solve for x
    x = 93,578.61/299.97
  6. Step 6: Final answer
    x = 311.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.