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Finding the Fourth Proportional to 54.44, 81.62 and 27.38

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Solution

The fourth proportional to 54.44, 81.62 and 27.38 is: 41.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.44 : 81.62 = 27.38 : x
  2. Step 2: Convert to fraction form
    54.44/81.62 = 27.38/x
  3. Step 3: Cross multiply
    54.44x = 81.62 × 27.38
  4. Step 4: Simplify right side
    54.44x = 2,234.76
  5. Step 5: Solve for x
    x = 2,234.76/54.44
  6. Step 6: Final answer
    x = 41.05

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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.