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Finding the Fourth Proportional to 276.39, 413.78 and 184.95

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Solution

The fourth proportional to 276.39, 413.78 and 184.95 is: 276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.39 : 413.78 = 184.95 : x
  2. Step 2: Convert to fraction form
    276.39/413.78 = 184.95/x
  3. Step 3: Cross multiply
    276.39x = 413.78 × 184.95
  4. Step 4: Simplify right side
    276.39x = 76,527.69
  5. Step 5: Solve for x
    x = 76,527.69/276.39
  6. Step 6: Final answer
    x = 276.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.