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Finding the Fourth Proportional to 11.88, 17.72 and 11.33

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Solution

The fourth proportional to 11.88, 17.72 and 11.33 is: 16.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.88 : 17.72 = 11.33 : x
  2. Step 2: Convert to fraction form
    11.88/17.72 = 11.33/x
  3. Step 3: Cross multiply
    11.88x = 17.72 × 11.33
  4. Step 4: Simplify right side
    11.88x = 200.62
  5. Step 5: Solve for x
    x = 200.62/11.88
  6. Step 6: Final answer
    x = 16.89

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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.