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Finding the Fourth Proportional to 39.25, 54.07 and 31.96

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Solution

The fourth proportional to 39.25, 54.07 and 31.96 is: 44.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.25 : 54.07 = 31.96 : x
  2. Step 2: Convert to fraction form
    39.25/54.07 = 31.96/x
  3. Step 3: Cross multiply
    39.25x = 54.07 × 31.96
  4. Step 4: Simplify right side
    39.25x = 1,728.08
  5. Step 5: Solve for x
    x = 1,728.08/39.25
  6. Step 6: Final answer
    x = 44.03

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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.