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Finding the Fourth Proportional to 11, 16.38 and 10.59

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Solution

The fourth proportional to 11, 16.38 and 10.59 is: 15.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11 : 16.38 = 10.59 : x
  2. Step 2: Convert to fraction form
    11/16.38 = 10.59/x
  3. Step 3: Cross multiply
    11x = 16.38 × 10.59
  4. Step 4: Simplify right side
    11x = 173.46
  5. Step 5: Solve for x
    x = 173.46/11
  6. Step 6: Final answer
    x = 15.77

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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.