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Finding the Fourth Proportional to 422.64, 634.05 and 300.60

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Solution

The fourth proportional to 422.64, 634.05 and 300.60 is: 450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 634.05 = 300.60 : x
  2. Step 2: Convert to fraction form
    422.64/634.05 = 300.60/x
  3. Step 3: Cross multiply
    422.64x = 634.05 × 300.60
  4. Step 4: Simplify right side
    422.64x = 190,595.43
  5. Step 5: Solve for x
    x = 190,595.43/422.64
  6. Step 6: Final answer
    x = 450.96

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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.