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Finding the Fourth Proportional to 299.59, 413.17 and 216.57

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Solution

The fourth proportional to 299.59, 413.17 and 216.57 is: 298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.59 : 413.17 = 216.57 : x
  2. Step 2: Convert to fraction form
    299.59/413.17 = 216.57/x
  3. Step 3: Cross multiply
    299.59x = 413.17 × 216.57
  4. Step 4: Simplify right side
    299.59x = 89,480.23
  5. Step 5: Solve for x
    x = 89,480.23/299.59
  6. Step 6: Final answer
    x = 298.68

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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.