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Finding the Fourth Proportional to 17.60, 24.31 and 16.80

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Solution

The fourth proportional to 17.60, 24.31 and 16.80 is: 23.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.60 : 24.31 = 16.80 : x
  2. Step 2: Convert to fraction form
    17.60/24.31 = 16.80/x
  3. Step 3: Cross multiply
    17.60x = 24.31 × 16.80
  4. Step 4: Simplify right side
    17.60x = 408.37
  5. Step 5: Solve for x
    x = 408.37/17.60
  6. Step 6: Final answer
    x = 23.21

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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.