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Finding the Fourth Proportional to 54.78, 82.25 and 44.70

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Solution

The fourth proportional to 54.78, 82.25 and 44.70 is: 67.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.78 : 82.25 = 44.70 : x
  2. Step 2: Convert to fraction form
    54.78/82.25 = 44.70/x
  3. Step 3: Cross multiply
    54.78x = 82.25 × 44.70
  4. Step 4: Simplify right side
    54.78x = 3,676.58
  5. Step 5: Solve for x
    x = 3,676.58/54.78
  6. Step 6: Final answer
    x = 67.12

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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.