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Finding the Fourth Proportional to 16.75, 23.07 and 15.43

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Solution

The fourth proportional to 16.75, 23.07 and 15.43 is: 21.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.75 : 23.07 = 15.43 : x
  2. Step 2: Convert to fraction form
    16.75/23.07 = 15.43/x
  3. Step 3: Cross multiply
    16.75x = 23.07 × 15.43
  4. Step 4: Simplify right side
    16.75x = 355.97
  5. Step 5: Solve for x
    x = 355.97/16.75
  6. Step 6: Final answer
    x = 21.25

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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.