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Finding the Fourth Proportional to 17.42, 25.99 and 15.66

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Solution

The fourth proportional to 17.42, 25.99 and 15.66 is: 23.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.42 : 25.99 = 15.66 : x
  2. Step 2: Convert to fraction form
    17.42/25.99 = 15.66/x
  3. Step 3: Cross multiply
    17.42x = 25.99 × 15.66
  4. Step 4: Simplify right side
    17.42x = 406.96
  5. Step 5: Solve for x
    x = 406.96/17.42
  6. Step 6: Final answer
    x = 23.37

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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.