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Finding the Fourth Proportional to 299.23, 413.00 and 200.88

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Solution

The fourth proportional to 299.23, 413.00 and 200.88 is: 277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.23 : 413.00 = 200.88 : x
  2. Step 2: Convert to fraction form
    299.23/413.00 = 200.88/x
  3. Step 3: Cross multiply
    299.23x = 413.00 × 200.88
  4. Step 4: Simplify right side
    299.23x = 82,963.19
  5. Step 5: Solve for x
    x = 82,963.19/299.23
  6. Step 6: Final answer
    x = 277.26

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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.