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Finding the Fourth Proportional to 4.01, 5.56 and 3.80

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Solution

The fourth proportional to 4.01, 5.56 and 3.80 is: 5.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.01 : 5.56 = 3.80 : x
  2. Step 2: Convert to fraction form
    4.01/5.56 = 3.80/x
  3. Step 3: Cross multiply
    4.01x = 5.56 × 3.80
  4. Step 4: Simplify right side
    4.01x = 21.13
  5. Step 5: Solve for x
    x = 21.13/4.01
  6. Step 6: Final answer
    x = 5.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.