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Finding the Fourth Proportional to 299.97, 413.91 and 168.95

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Solution

The fourth proportional to 299.97, 413.91 and 168.95 is: 233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.97 : 413.91 = 168.95 : x
  2. Step 2: Convert to fraction form
    299.97/413.91 = 168.95/x
  3. Step 3: Cross multiply
    299.97x = 413.91 × 168.95
  4. Step 4: Simplify right side
    299.97x = 69,928.02
  5. Step 5: Solve for x
    x = 69,928.02/299.97
  6. Step 6: Final answer
    x = 233.12

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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.