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Finding the Fourth Proportional to 299.90, 413.71 and 200.27

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Solution

The fourth proportional to 299.90, 413.71 and 200.27 is: 276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 413.71 = 200.27 : x
  2. Step 2: Convert to fraction form
    299.90/413.71 = 200.27/x
  3. Step 3: Cross multiply
    299.90x = 413.71 × 200.27
  4. Step 4: Simplify right side
    299.90x = 82,854.24
  5. Step 5: Solve for x
    x = 82,854.24/299.90
  6. Step 6: Final answer
    x = 276.27

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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.