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Finding the Fourth Proportional to 8.23, 11.27 and 8.20

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Solution

The fourth proportional to 8.23, 11.27 and 8.20 is: 11.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.23 : 11.27 = 8.20 : x
  2. Step 2: Convert to fraction form
    8.23/11.27 = 8.20/x
  3. Step 3: Cross multiply
    8.23x = 11.27 × 8.20
  4. Step 4: Simplify right side
    8.23x = 92.41
  5. Step 5: Solve for x
    x = 92.41/8.23
  6. Step 6: Final answer
    x = 11.23

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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.