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Finding the Fourth Proportional to 11.29, 16.91 and 7.23

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Solution

The fourth proportional to 11.29, 16.91 and 7.23 is: 10.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.29 : 16.91 = 7.23 : x
  2. Step 2: Convert to fraction form
    11.29/16.91 = 7.23/x
  3. Step 3: Cross multiply
    11.29x = 16.91 × 7.23
  4. Step 4: Simplify right side
    11.29x = 122.26
  5. Step 5: Solve for x
    x = 122.26/11.29
  6. Step 6: Final answer
    x = 10.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.