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Finding the Fourth Proportional to 300.27, 413.60 and 280.11

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Solution

The fourth proportional to 300.27, 413.60 and 280.11 is: 385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.27 : 413.60 = 280.11 : x
  2. Step 2: Convert to fraction form
    300.27/413.60 = 280.11/x
  3. Step 3: Cross multiply
    300.27x = 413.60 × 280.11
  4. Step 4: Simplify right side
    300.27x = 115,852.10
  5. Step 5: Solve for x
    x = 115,852.10/300.27
  6. Step 6: Final answer
    x = 385.83

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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.