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Finding the Fourth Proportional to 221.59, 330.89 and 181.09

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Solution

The fourth proportional to 221.59, 330.89 and 181.09 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.59 : 330.89 = 181.09 : x
  2. Step 2: Convert to fraction form
    221.59/330.89 = 181.09/x
  3. Step 3: Cross multiply
    221.59x = 330.89 × 181.09
  4. Step 4: Simplify right side
    221.59x = 59,920.87
  5. Step 5: Solve for x
    x = 59,920.87/221.59
  6. Step 6: Final answer
    x = 270.41

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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.