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Finding the Fourth Proportional to 299.52, 413.46 and 183.15

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Solution

The fourth proportional to 299.52, 413.46 and 183.15 is: 252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 413.46 = 183.15 : x
  2. Step 2: Convert to fraction form
    299.52/413.46 = 183.15/x
  3. Step 3: Cross multiply
    299.52x = 413.46 × 183.15
  4. Step 4: Simplify right side
    299.52x = 75,725.20
  5. Step 5: Solve for x
    x = 75,725.20/299.52
  6. Step 6: Final answer
    x = 252.82

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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.