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Finding the Fourth Proportional to 23.05, 31.75 and 19.97

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Solution

The fourth proportional to 23.05, 31.75 and 19.97 is: 27.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.05 : 31.75 = 19.97 : x
  2. Step 2: Convert to fraction form
    23.05/31.75 = 19.97/x
  3. Step 3: Cross multiply
    23.05x = 31.75 × 19.97
  4. Step 4: Simplify right side
    23.05x = 634.08
  5. Step 5: Solve for x
    x = 634.08/23.05
  6. Step 6: Final answer
    x = 27.51

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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.