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Finding the Fourth Proportional to 7.67, 11.50 and 3.66

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Solution

The fourth proportional to 7.67, 11.50 and 3.66 is: 5.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.67 : 11.50 = 3.66 : x
  2. Step 2: Convert to fraction form
    7.67/11.50 = 3.66/x
  3. Step 3: Cross multiply
    7.67x = 11.50 × 3.66
  4. Step 4: Simplify right side
    7.67x = 42.04
  5. Step 5: Solve for x
    x = 42.04/7.67
  6. Step 6: Final answer
    x = 5.48

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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.