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Finding the Fourth Proportional to 16.98, 25.44 and 13.78

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Solution

The fourth proportional to 16.98, 25.44 and 13.78 is: 20.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.98 : 25.44 = 13.78 : x
  2. Step 2: Convert to fraction form
    16.98/25.44 = 13.78/x
  3. Step 3: Cross multiply
    16.98x = 25.44 × 13.78
  4. Step 4: Simplify right side
    16.98x = 350.56
  5. Step 5: Solve for x
    x = 350.56/16.98
  6. Step 6: Final answer
    x = 20.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.