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Finding the Fourth Proportional to 422.94, 584.24 and 330.85

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Solution

The fourth proportional to 422.94, 584.24 and 330.85 is: 457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 584.24 = 330.85 : x
  2. Step 2: Convert to fraction form
    422.94/584.24 = 330.85/x
  3. Step 3: Cross multiply
    422.94x = 584.24 × 330.85
  4. Step 4: Simplify right side
    422.94x = 193,292.69
  5. Step 5: Solve for x
    x = 193,292.69/422.94
  6. Step 6: Final answer
    x = 457.02

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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.