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Finding the Fourth Proportional to 204.21, 306.09 and 101.27

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Solution

The fourth proportional to 204.21, 306.09 and 101.27 is: 151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.21 : 306.09 = 101.27 : x
  2. Step 2: Convert to fraction form
    204.21/306.09 = 101.27/x
  3. Step 3: Cross multiply
    204.21x = 306.09 × 101.27
  4. Step 4: Simplify right side
    204.21x = 30,997.73
  5. Step 5: Solve for x
    x = 30,997.73/204.21
  6. Step 6: Final answer
    x = 151.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.