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Finding the Fourth Proportional to 299.35, 413.13 and 194.49

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Solution

The fourth proportional to 299.35, 413.13 and 194.49 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.35 : 413.13 = 194.49 : x
  2. Step 2: Convert to fraction form
    299.35/413.13 = 194.49/x
  3. Step 3: Cross multiply
    299.35x = 413.13 × 194.49
  4. Step 4: Simplify right side
    299.35x = 80,349.65
  5. Step 5: Solve for x
    x = 80,349.65/299.35
  6. Step 6: Final answer
    x = 268.41

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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.