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Finding the Fourth Proportional to 299.93, 413.78 and 216.86

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Solution

The fourth proportional to 299.93, 413.78 and 216.86 is: 299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.93 : 413.78 = 216.86 : x
  2. Step 2: Convert to fraction form
    299.93/413.78 = 216.86/x
  3. Step 3: Cross multiply
    299.93x = 413.78 × 216.86
  4. Step 4: Simplify right side
    299.93x = 89,730.80
  5. Step 5: Solve for x
    x = 89,730.80/299.93
  6. Step 6: Final answer
    x = 299.17

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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.