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Finding the Fourth Proportional to 299.75, 413.42 and 189.19

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Solution

The fourth proportional to 299.75, 413.42 and 189.19 is: 260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 413.42 = 189.19 : x
  2. Step 2: Convert to fraction form
    299.75/413.42 = 189.19/x
  3. Step 3: Cross multiply
    299.75x = 413.42 × 189.19
  4. Step 4: Simplify right side
    299.75x = 78,212.86
  5. Step 5: Solve for x
    x = 78,212.86/299.75
  6. Step 6: Final answer
    x = 260.93

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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.