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Finding the Fourth Proportional to 299.87, 413.98 and 201.80

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Solution

The fourth proportional to 299.87, 413.98 and 201.80 is: 278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.87 : 413.98 = 201.80 : x
  2. Step 2: Convert to fraction form
    299.87/413.98 = 201.80/x
  3. Step 3: Cross multiply
    299.87x = 413.98 × 201.80
  4. Step 4: Simplify right side
    299.87x = 83,541.16
  5. Step 5: Solve for x
    x = 83,541.16/299.87
  6. Step 6: Final answer
    x = 278.59

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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.