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Finding the Fourth Proportional to 2.77, 3.82 and 1.69

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Solution

The fourth proportional to 2.77, 3.82 and 1.69 is: 2.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.77 : 3.82 = 1.69 : x
  2. Step 2: Convert to fraction form
    2.77/3.82 = 1.69/x
  3. Step 3: Cross multiply
    2.77x = 3.82 × 1.69
  4. Step 4: Simplify right side
    2.77x = 6.44
  5. Step 5: Solve for x
    x = 6.44/2.77
  6. Step 6: Final answer
    x = 2.33

Related Problems

Find fourth proportional to 1.38, 1.91 and 0.84
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.