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Finding the Fourth Proportional to 299.86, 413.84 and 168.86

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Solution

The fourth proportional to 299.86, 413.84 and 168.86 is: 233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.86 : 413.84 = 168.86 : x
  2. Step 2: Convert to fraction form
    299.86/413.84 = 168.86/x
  3. Step 3: Cross multiply
    299.86x = 413.84 × 168.86
  4. Step 4: Simplify right side
    299.86x = 69,881.02
  5. Step 5: Solve for x
    x = 69,881.02/299.86
  6. Step 6: Final answer
    x = 233.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.