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Finding the Fourth Proportional to 17.40, 23.92 and 15.38

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Solution

The fourth proportional to 17.40, 23.92 and 15.38 is: 21.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.40 : 23.92 = 15.38 : x
  2. Step 2: Convert to fraction form
    17.40/23.92 = 15.38/x
  3. Step 3: Cross multiply
    17.40x = 23.92 × 15.38
  4. Step 4: Simplify right side
    17.40x = 367.89
  5. Step 5: Solve for x
    x = 367.89/17.40
  6. Step 6: Final answer
    x = 21.14

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