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Finding the Fourth Proportional to 2.69, 3.67 and 2.61

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Solution

The fourth proportional to 2.69, 3.67 and 2.61 is: 3.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.69 : 3.67 = 2.61 : x
  2. Step 2: Convert to fraction form
    2.69/3.67 = 2.61/x
  3. Step 3: Cross multiply
    2.69x = 3.67 × 2.61
  4. Step 4: Simplify right side
    2.69x = 9.58
  5. Step 5: Solve for x
    x = 9.58/2.69
  6. Step 6: Final answer
    x = 3.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.