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Finding the Fourth Proportional to 299.36, 413.11 and 166.59

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Solution

The fourth proportional to 299.36, 413.11 and 166.59 is: 229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 413.11 = 166.59 : x
  2. Step 2: Convert to fraction form
    299.36/413.11 = 166.59/x
  3. Step 3: Cross multiply
    299.36x = 413.11 × 166.59
  4. Step 4: Simplify right side
    299.36x = 68,817.10
  5. Step 5: Solve for x
    x = 68,817.10/299.36
  6. Step 6: Final answer
    x = 229.88

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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.