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Finding the Fourth Proportional to 31.96, 44.12 and 25.48

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Solution

The fourth proportional to 31.96, 44.12 and 25.48 is: 35.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.96 : 44.12 = 25.48 : x
  2. Step 2: Convert to fraction form
    31.96/44.12 = 25.48/x
  3. Step 3: Cross multiply
    31.96x = 44.12 × 25.48
  4. Step 4: Simplify right side
    31.96x = 1,124.18
  5. Step 5: Solve for x
    x = 1,124.18/31.96
  6. Step 6: Final answer
    x = 35.17

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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.