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Finding the Fourth Proportional to 300.49, 413.22 and 240.73

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Solution

The fourth proportional to 300.49, 413.22 and 240.73 is: 331.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.49 : 413.22 = 240.73 : x
  2. Step 2: Convert to fraction form
    300.49/413.22 = 240.73/x
  3. Step 3: Cross multiply
    300.49x = 413.22 × 240.73
  4. Step 4: Simplify right side
    300.49x = 99,474.45
  5. Step 5: Solve for x
    x = 99,474.45/300.49
  6. Step 6: Final answer
    x = 331.04

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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.