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Finding the Fourth Proportional to 16.89, 25.49 and 16.43

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Solution

The fourth proportional to 16.89, 25.49 and 16.43 is: 24.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.89 : 25.49 = 16.43 : x
  2. Step 2: Convert to fraction form
    16.89/25.49 = 16.43/x
  3. Step 3: Cross multiply
    16.89x = 25.49 × 16.43
  4. Step 4: Simplify right side
    16.89x = 418.59
  5. Step 5: Solve for x
    x = 418.59/16.89
  6. Step 6: Final answer
    x = 24.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.