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Finding the Fourth Proportional to 276.72, 413.25 and 222.44

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Solution

The fourth proportional to 276.72, 413.25 and 222.44 is: 332.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.72 : 413.25 = 222.44 : x
  2. Step 2: Convert to fraction form
    276.72/413.25 = 222.44/x
  3. Step 3: Cross multiply
    276.72x = 413.25 × 222.44
  4. Step 4: Simplify right side
    276.72x = 91,923.33
  5. Step 5: Solve for x
    x = 91,923.33/276.72
  6. Step 6: Final answer
    x = 332.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.