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Finding the Fourth Proportional to 300.56, 449.31 and 222.80

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Solution

The fourth proportional to 300.56, 449.31 and 222.80 is: 333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 449.31 = 222.80 : x
  2. Step 2: Convert to fraction form
    300.56/449.31 = 222.80/x
  3. Step 3: Cross multiply
    300.56x = 449.31 × 222.80
  4. Step 4: Simplify right side
    300.56x = 100,105.15
  5. Step 5: Solve for x
    x = 100,105.15/300.56
  6. Step 6: Final answer
    x = 333.06

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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.