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Finding the Fourth Proportional to 422.42, 636.19 and 371.72

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Solution

The fourth proportional to 422.42, 636.19 and 371.72 is: 559.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.42 : 636.19 = 371.72 : x
  2. Step 2: Convert to fraction form
    422.42/636.19 = 371.72/x
  3. Step 3: Cross multiply
    422.42x = 636.19 × 371.72
  4. Step 4: Simplify right side
    422.42x = 236,485.21
  5. Step 5: Solve for x
    x = 236,485.21/422.42
  6. Step 6: Final answer
    x = 559.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.