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Finding the Fourth Proportional to 7.66, 11.48 and 6.80

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Solution

The fourth proportional to 7.66, 11.48 and 6.80 is: 10.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.66 : 11.48 = 6.80 : x
  2. Step 2: Convert to fraction form
    7.66/11.48 = 6.80/x
  3. Step 3: Cross multiply
    7.66x = 11.48 × 6.80
  4. Step 4: Simplify right side
    7.66x = 78.06
  5. Step 5: Solve for x
    x = 78.06/7.66
  6. Step 6: Final answer
    x = 10.19

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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.