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Finding the Fourth Proportional to 181.38, 249.60 and 180.28

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Solution

The fourth proportional to 181.38, 249.60 and 180.28 is: 248.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.38 : 249.60 = 180.28 : x
  2. Step 2: Convert to fraction form
    181.38/249.60 = 180.28/x
  3. Step 3: Cross multiply
    181.38x = 249.60 × 180.28
  4. Step 4: Simplify right side
    181.38x = 44,997.89
  5. Step 5: Solve for x
    x = 44,997.89/181.38
  6. Step 6: Final answer
    x = 248.09

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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.