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Finding the Fourth Proportional to 299.93, 413.89 and 206.78

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Solution

The fourth proportional to 299.93, 413.89 and 206.78 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.93 : 413.89 = 206.78 : x
  2. Step 2: Convert to fraction form
    299.93/413.89 = 206.78/x
  3. Step 3: Cross multiply
    299.93x = 413.89 × 206.78
  4. Step 4: Simplify right side
    299.93x = 85,584.17
  5. Step 5: Solve for x
    x = 85,584.17/299.93
  6. Step 6: Final answer
    x = 285.35

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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.