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Finding the Fourth Proportional to 299.57, 413.52 and 189.21

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Solution

The fourth proportional to 299.57, 413.52 and 189.21 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.57 : 413.52 = 189.21 : x
  2. Step 2: Convert to fraction form
    299.57/413.52 = 189.21/x
  3. Step 3: Cross multiply
    299.57x = 413.52 × 189.21
  4. Step 4: Simplify right side
    299.57x = 78,239.86
  5. Step 5: Solve for x
    x = 78,239.86/299.57
  6. Step 6: Final answer
    x = 261.17

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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.