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Finding the Fourth Proportional to 299.91, 413.90 and 168.93

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Solution

The fourth proportional to 299.91, 413.90 and 168.93 is: 233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.91 : 413.90 = 168.93 : x
  2. Step 2: Convert to fraction form
    299.91/413.90 = 168.93/x
  3. Step 3: Cross multiply
    299.91x = 413.90 × 168.93
  4. Step 4: Simplify right side
    299.91x = 69,919.92
  5. Step 5: Solve for x
    x = 69,919.92/299.91
  6. Step 6: Final answer
    x = 233.13

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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.