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Finding the Fourth Proportional to 300.29, 413.34 and 261.41

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Solution

The fourth proportional to 300.29, 413.34 and 261.41 is: 359.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.29 : 413.34 = 261.41 : x
  2. Step 2: Convert to fraction form
    300.29/413.34 = 261.41/x
  3. Step 3: Cross multiply
    300.29x = 413.34 × 261.41
  4. Step 4: Simplify right side
    300.29x = 108,049.14
  5. Step 5: Solve for x
    x = 108,049.14/300.29
  6. Step 6: Final answer
    x = 359.82

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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.