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Finding the Fourth Proportional to 299.69, 413.62 and 225.88

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Solution

The fourth proportional to 299.69, 413.62 and 225.88 is: 311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.69 : 413.62 = 225.88 : x
  2. Step 2: Convert to fraction form
    299.69/413.62 = 225.88/x
  3. Step 3: Cross multiply
    299.69x = 413.62 × 225.88
  4. Step 4: Simplify right side
    299.69x = 93,428.49
  5. Step 5: Solve for x
    x = 93,428.49/299.69
  6. Step 6: Final answer
    x = 311.75

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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.