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Finding the Fourth Proportional to 299.78, 413.62 and 206.82

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Solution

The fourth proportional to 299.78, 413.62 and 206.82 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 413.62 = 206.82 : x
  2. Step 2: Convert to fraction form
    299.78/413.62 = 206.82/x
  3. Step 3: Cross multiply
    299.78x = 413.62 × 206.82
  4. Step 4: Simplify right side
    299.78x = 85,544.89
  5. Step 5: Solve for x
    x = 85,544.89/299.78
  6. Step 6: Final answer
    x = 285.36

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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.