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Finding the Fourth Proportional to 276.47, 413.97 and 218.81

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Solution

The fourth proportional to 276.47, 413.97 and 218.81 is: 327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.47 : 413.97 = 218.81 : x
  2. Step 2: Convert to fraction form
    276.47/413.97 = 218.81/x
  3. Step 3: Cross multiply
    276.47x = 413.97 × 218.81
  4. Step 4: Simplify right side
    276.47x = 90,581.81
  5. Step 5: Solve for x
    x = 90,581.81/276.47
  6. Step 6: Final answer
    x = 327.63

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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.