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Finding the Fourth Proportional to 221.31, 330.42 and 199.44

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Solution

The fourth proportional to 221.31, 330.42 and 199.44 is: 297.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.31 : 330.42 = 199.44 : x
  2. Step 2: Convert to fraction form
    221.31/330.42 = 199.44/x
  3. Step 3: Cross multiply
    221.31x = 330.42 × 199.44
  4. Step 4: Simplify right side
    221.31x = 65,898.96
  5. Step 5: Solve for x
    x = 65,898.96/221.31
  6. Step 6: Final answer
    x = 297.77

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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.