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Finding the Fourth Proportional to 273.98, 409.11 and 222.04

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Solution

The fourth proportional to 273.98, 409.11 and 222.04 is: 331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 409.11 = 222.04 : x
  2. Step 2: Convert to fraction form
    273.98/409.11 = 222.04/x
  3. Step 3: Cross multiply
    273.98x = 409.11 × 222.04
  4. Step 4: Simplify right side
    273.98x = 90,840.02
  5. Step 5: Solve for x
    x = 90,840.02/273.98
  6. Step 6: Final answer
    x = 331.55

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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.