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Finding the Fourth Proportional to 252.78, 379.30 and 181.22

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Solution

The fourth proportional to 252.78, 379.30 and 181.22 is: 271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.78 : 379.30 = 181.22 : x
  2. Step 2: Convert to fraction form
    252.78/379.30 = 181.22/x
  3. Step 3: Cross multiply
    252.78x = 379.30 × 181.22
  4. Step 4: Simplify right side
    252.78x = 68,736.75
  5. Step 5: Solve for x
    x = 68,736.75/252.78
  6. Step 6: Final answer
    x = 271.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.