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Finding the Fourth Proportional to 299.43, 413.20 and 168.44

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Solution

The fourth proportional to 299.43, 413.20 and 168.44 is: 232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.43 : 413.20 = 168.44 : x
  2. Step 2: Convert to fraction form
    299.43/413.20 = 168.44/x
  3. Step 3: Cross multiply
    299.43x = 413.20 × 168.44
  4. Step 4: Simplify right side
    299.43x = 69,596.50
  5. Step 5: Solve for x
    x = 69,596.50/299.43
  6. Step 6: Final answer
    x = 232.43

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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.