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Finding the Fourth Proportional to 27.64, 38.11 and 20.35

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Solution

The fourth proportional to 27.64, 38.11 and 20.35 is: 28.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.64 : 38.11 = 20.35 : x
  2. Step 2: Convert to fraction form
    27.64/38.11 = 20.35/x
  3. Step 3: Cross multiply
    27.64x = 38.11 × 20.35
  4. Step 4: Simplify right side
    27.64x = 775.54
  5. Step 5: Solve for x
    x = 775.54/27.64
  6. Step 6: Final answer
    x = 28.06

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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.