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Finding the Fourth Proportional to 221.38, 305.04 and 181.91

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Solution

The fourth proportional to 221.38, 305.04 and 181.91 is: 250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.38 : 305.04 = 181.91 : x
  2. Step 2: Convert to fraction form
    221.38/305.04 = 181.91/x
  3. Step 3: Cross multiply
    221.38x = 305.04 × 181.91
  4. Step 4: Simplify right side
    221.38x = 55,489.83
  5. Step 5: Solve for x
    x = 55,489.83/221.38
  6. Step 6: Final answer
    x = 250.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.