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Finding the Fourth Proportional to 461.00, 635.96 and 321.41

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Solution

The fourth proportional to 461.00, 635.96 and 321.41 is: 443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.00 : 635.96 = 321.41 : x
  2. Step 2: Convert to fraction form
    461.00/635.96 = 321.41/x
  3. Step 3: Cross multiply
    461.00x = 635.96 × 321.41
  4. Step 4: Simplify right side
    461.00x = 204,399.12
  5. Step 5: Solve for x
    x = 204,399.12/461.00
  6. Step 6: Final answer
    x = 443.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.