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Finding the Fourth Proportional to 299.57, 413.55 and 189.20

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Solution

The fourth proportional to 299.57, 413.55 and 189.20 is: 261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 413.55 = 189.20 : x
  2. Step 2: Convert to fraction form
    299.57/413.55 = 189.20/x
  3. Step 3: Cross multiply
    299.57x = 413.55 × 189.20
  4. Step 4: Simplify right side
    299.57x = 78,244.69
  5. Step 5: Solve for x
    x = 78,244.69/299.57
  6. Step 6: Final answer
    x = 261.19

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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.