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Finding the Fourth Proportional to 299.25, 413.08 and 182.81

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Solution

The fourth proportional to 299.25, 413.08 and 182.81 is: 252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 413.08 = 182.81 : x
  2. Step 2: Convert to fraction form
    299.25/413.08 = 182.81/x
  3. Step 3: Cross multiply
    299.25x = 413.08 × 182.81
  4. Step 4: Simplify right side
    299.25x = 75,515.73
  5. Step 5: Solve for x
    x = 75,515.73/299.25
  6. Step 6: Final answer
    x = 252.35

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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.