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Finding the Fourth Proportional to 13.40, 18.41 and 10.96

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Solution

The fourth proportional to 13.40, 18.41 and 10.96 is: 15.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.40 : 18.41 = 10.96 : x
  2. Step 2: Convert to fraction form
    13.40/18.41 = 10.96/x
  3. Step 3: Cross multiply
    13.40x = 18.41 × 10.96
  4. Step 4: Simplify right side
    13.40x = 201.77
  5. Step 5: Solve for x
    x = 201.77/13.40
  6. Step 6: Final answer
    x = 15.06

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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.