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Finding the Fourth Proportional to 17.97, 24.80 and 17.20

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Solution

The fourth proportional to 17.97, 24.80 and 17.20 is: 23.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.97 : 24.80 = 17.20 : x
  2. Step 2: Convert to fraction form
    17.97/24.80 = 17.20/x
  3. Step 3: Cross multiply
    17.97x = 24.80 × 17.20
  4. Step 4: Simplify right side
    17.97x = 426.56
  5. Step 5: Solve for x
    x = 426.56/17.97
  6. Step 6: Final answer
    x = 23.74

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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.