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Finding the Fourth Proportional to 422.75, 634.19 and 149.00

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Solution

The fourth proportional to 422.75, 634.19 and 149.00 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 634.19 = 149.00 : x
  2. Step 2: Convert to fraction form
    422.75/634.19 = 149.00/x
  3. Step 3: Cross multiply
    422.75x = 634.19 × 149.00
  4. Step 4: Simplify right side
    422.75x = 94,491.51
  5. Step 5: Solve for x
    x = 94,491.51/422.75
  6. Step 6: Final answer
    x = 223.52

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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.