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Finding the Fourth Proportional to 31.97, 44.10 and 22.25

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Solution

The fourth proportional to 31.97, 44.10 and 22.25 is: 30.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.97 : 44.10 = 22.25 : x
  2. Step 2: Convert to fraction form
    31.97/44.10 = 22.25/x
  3. Step 3: Cross multiply
    31.97x = 44.10 × 22.25
  4. Step 4: Simplify right side
    31.97x = 981.23
  5. Step 5: Solve for x
    x = 981.23/31.97
  6. Step 6: Final answer
    x = 30.69

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1.5x scale

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.