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Finding the Fourth Proportional to 422.72, 636.48 and 301.76

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Solution

The fourth proportional to 422.72, 636.48 and 301.76 is: 454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.72 : 636.48 = 301.76 : x
  2. Step 2: Convert to fraction form
    422.72/636.48 = 301.76/x
  3. Step 3: Cross multiply
    422.72x = 636.48 × 301.76
  4. Step 4: Simplify right side
    422.72x = 192,064.20
  5. Step 5: Solve for x
    x = 192,064.20/422.72
  6. Step 6: Final answer
    x = 454.35

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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.