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Finding the Fourth Proportional to 422.02, 635.26 and 301.12

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Solution

The fourth proportional to 422.02, 635.26 and 301.12 is: 453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.02 : 635.26 = 301.12 : x
  2. Step 2: Convert to fraction form
    422.02/635.26 = 301.12/x
  3. Step 3: Cross multiply
    422.02x = 635.26 × 301.12
  4. Step 4: Simplify right side
    422.02x = 191,289.49
  5. Step 5: Solve for x
    x = 191,289.49/422.02
  6. Step 6: Final answer
    x = 453.27

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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.