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Finding the Fourth Proportional to 17.09, 23.42 and 16.89

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Solution

The fourth proportional to 17.09, 23.42 and 16.89 is: 23.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.09 : 23.42 = 16.89 : x
  2. Step 2: Convert to fraction form
    17.09/23.42 = 16.89/x
  3. Step 3: Cross multiply
    17.09x = 23.42 × 16.89
  4. Step 4: Simplify right side
    17.09x = 395.56
  5. Step 5: Solve for x
    x = 395.56/17.09
  6. Step 6: Final answer
    x = 23.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.