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Finding the Fourth Proportional to 39.22, 54.56 and 38.48

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Solution

The fourth proportional to 39.22, 54.56 and 38.48 is: 53.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.22 : 54.56 = 38.48 : x
  2. Step 2: Convert to fraction form
    39.22/54.56 = 38.48/x
  3. Step 3: Cross multiply
    39.22x = 54.56 × 38.48
  4. Step 4: Simplify right side
    39.22x = 2,099.35
  5. Step 5: Solve for x
    x = 2,099.35/39.22
  6. Step 6: Final answer
    x = 53.53

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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.