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Finding the Fourth Proportional to 299.88, 413.91 and 181.89

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Solution

The fourth proportional to 299.88, 413.91 and 181.89 is: 251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.88 : 413.91 = 181.89 : x
  2. Step 2: Convert to fraction form
    299.88/413.91 = 181.89/x
  3. Step 3: Cross multiply
    299.88x = 413.91 × 181.89
  4. Step 4: Simplify right side
    299.88x = 75,286.09
  5. Step 5: Solve for x
    x = 75,286.09/299.88
  6. Step 6: Final answer
    x = 251.05

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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.