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Finding the Fourth Proportional to 306.63, 422.96 and 201.73

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Solution

The fourth proportional to 306.63, 422.96 and 201.73 is: 278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.63 : 422.96 = 201.73 : x
  2. Step 2: Convert to fraction form
    306.63/422.96 = 201.73/x
  3. Step 3: Cross multiply
    306.63x = 422.96 × 201.73
  4. Step 4: Simplify right side
    306.63x = 85,323.72
  5. Step 5: Solve for x
    x = 85,323.72/306.63
  6. Step 6: Final answer
    x = 278.26

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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.