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Finding the Fourth Proportional to 206.12, 306.34 and 201.56

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Solution

The fourth proportional to 206.12, 306.34 and 201.56 is: 299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.12 : 306.34 = 201.56 : x
  2. Step 2: Convert to fraction form
    206.12/306.34 = 201.56/x
  3. Step 3: Cross multiply
    206.12x = 306.34 × 201.56
  4. Step 4: Simplify right side
    206.12x = 61,745.89
  5. Step 5: Solve for x
    x = 61,745.89/206.12
  6. Step 6: Final answer
    x = 299.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.