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Finding the Fourth Proportional to 12.27, 16.90 and 11.05

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Solution

The fourth proportional to 12.27, 16.90 and 11.05 is: 15.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.27 : 16.90 = 11.05 : x
  2. Step 2: Convert to fraction form
    12.27/16.90 = 11.05/x
  3. Step 3: Cross multiply
    12.27x = 16.90 × 11.05
  4. Step 4: Simplify right side
    12.27x = 186.75
  5. Step 5: Solve for x
    x = 186.75/12.27
  6. Step 6: Final answer
    x = 15.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.