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Finding the Fourth Proportional to 17.06, 25.41 and 16.78

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Solution

The fourth proportional to 17.06, 25.41 and 16.78 is: 24.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.06 : 25.41 = 16.78 : x
  2. Step 2: Convert to fraction form
    17.06/25.41 = 16.78/x
  3. Step 3: Cross multiply
    17.06x = 25.41 × 16.78
  4. Step 4: Simplify right side
    17.06x = 426.38
  5. Step 5: Solve for x
    x = 426.38/17.06
  6. Step 6: Final answer
    x = 24.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.