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Finding the Fourth Proportional to 299.92, 413.80 and 189.40

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Solution

The fourth proportional to 299.92, 413.80 and 189.40 is: 261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.92 : 413.80 = 189.40 : x
  2. Step 2: Convert to fraction form
    299.92/413.80 = 189.40/x
  3. Step 3: Cross multiply
    299.92x = 413.80 × 189.40
  4. Step 4: Simplify right side
    299.92x = 78,373.72
  5. Step 5: Solve for x
    x = 78,373.72/299.92
  6. Step 6: Final answer
    x = 261.32

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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.