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Finding the Fourth Proportional to 2.77, 3.78 and 2.61

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Solution

The fourth proportional to 2.77, 3.78 and 2.61 is: 3.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.77 : 3.78 = 2.61 : x
  2. Step 2: Convert to fraction form
    2.77/3.78 = 2.61/x
  3. Step 3: Cross multiply
    2.77x = 3.78 × 2.61
  4. Step 4: Simplify right side
    2.77x = 9.87
  5. Step 5: Solve for x
    x = 9.87/2.77
  6. Step 6: Final answer
    x = 3.56

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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.