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Finding the Fourth Proportional to 181.31, 251.78 and 179.28

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Solution

The fourth proportional to 181.31, 251.78 and 179.28 is: 248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.31 : 251.78 = 179.28 : x
  2. Step 2: Convert to fraction form
    181.31/251.78 = 179.28/x
  3. Step 3: Cross multiply
    181.31x = 251.78 × 179.28
  4. Step 4: Simplify right side
    181.31x = 45,138.22
  5. Step 5: Solve for x
    x = 45,138.22/181.31
  6. Step 6: Final answer
    x = 248.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.