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Finding the Fourth Proportional to 31.49, 43.39 and 24.60

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Solution

The fourth proportional to 31.49, 43.39 and 24.60 is: 33.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.49 : 43.39 = 24.60 : x
  2. Step 2: Convert to fraction form
    31.49/43.39 = 24.60/x
  3. Step 3: Cross multiply
    31.49x = 43.39 × 24.60
  4. Step 4: Simplify right side
    31.49x = 1,067.45
  5. Step 5: Solve for x
    x = 1,067.45/31.49
  6. Step 6: Final answer
    x = 33.90

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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.