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Finding the Fourth Proportional to 20.08, 27.74 and 17.75

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Solution

The fourth proportional to 20.08, 27.74 and 17.75 is: 24.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.08 : 27.74 = 17.75 : x
  2. Step 2: Convert to fraction form
    20.08/27.74 = 17.75/x
  3. Step 3: Cross multiply
    20.08x = 27.74 × 17.75
  4. Step 4: Simplify right side
    20.08x = 492.50
  5. Step 5: Solve for x
    x = 492.50/20.08
  6. Step 6: Final answer
    x = 24.53

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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.