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Finding the Fourth Proportional to 422.89, 584.01 and 321.77

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Solution

The fourth proportional to 422.89, 584.01 and 321.77 is: 444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.89 : 584.01 = 321.77 : x
  2. Step 2: Convert to fraction form
    422.89/584.01 = 321.77/x
  3. Step 3: Cross multiply
    422.89x = 584.01 × 321.77
  4. Step 4: Simplify right side
    422.89x = 187,918.36
  5. Step 5: Solve for x
    x = 187,918.36/422.89
  6. Step 6: Final answer
    x = 444.37

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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.