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Finding the Fourth Proportional to 422.12, 633.60 and 205.88

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Solution

The fourth proportional to 422.12, 633.60 and 205.88 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.12 : 633.60 = 205.88 : x
  2. Step 2: Convert to fraction form
    422.12/633.60 = 205.88/x
  3. Step 3: Cross multiply
    422.12x = 633.60 × 205.88
  4. Step 4: Simplify right side
    422.12x = 130,445.57
  5. Step 5: Solve for x
    x = 130,445.57/422.12
  6. Step 6: Final answer
    x = 309.02

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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.