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Finding the Fourth Proportional to 276.50, 413.22 and 222.14

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Solution

The fourth proportional to 276.50, 413.22 and 222.14 is: 331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.50 : 413.22 = 222.14 : x
  2. Step 2: Convert to fraction form
    276.50/413.22 = 222.14/x
  3. Step 3: Cross multiply
    276.50x = 413.22 × 222.14
  4. Step 4: Simplify right side
    276.50x = 91,792.69
  5. Step 5: Solve for x
    x = 91,792.69/276.50
  6. Step 6: Final answer
    x = 331.98

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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.