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Finding the Fourth Proportional to 181.82, 272.57 and 138.55

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Solution

The fourth proportional to 181.82, 272.57 and 138.55 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.82 : 272.57 = 138.55 : x
  2. Step 2: Convert to fraction form
    181.82/272.57 = 138.55/x
  3. Step 3: Cross multiply
    181.82x = 272.57 × 138.55
  4. Step 4: Simplify right side
    181.82x = 37,764.57
  5. Step 5: Solve for x
    x = 37,764.57/181.82
  6. Step 6: Final answer
    x = 207.70

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Why These Related Problems?

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