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Finding the Fourth Proportional to 299.75, 413.66 and 196.43

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Solution

The fourth proportional to 299.75, 413.66 and 196.43 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 413.66 = 196.43 : x
  2. Step 2: Convert to fraction form
    299.75/413.66 = 196.43/x
  3. Step 3: Cross multiply
    299.75x = 413.66 × 196.43
  4. Step 4: Simplify right side
    299.75x = 81,254.25
  5. Step 5: Solve for x
    x = 81,254.25/299.75
  6. Step 6: Final answer
    x = 271.07

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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.