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Finding the Fourth Proportional to 223.74, 331.38 and 221.31

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Solution

The fourth proportional to 223.74, 331.38 and 221.31 is: 327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.74 : 331.38 = 221.31 : x
  2. Step 2: Convert to fraction form
    223.74/331.38 = 221.31/x
  3. Step 3: Cross multiply
    223.74x = 331.38 × 221.31
  4. Step 4: Simplify right side
    223.74x = 73,337.71
  5. Step 5: Solve for x
    x = 73,337.71/223.74
  6. Step 6: Final answer
    x = 327.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.