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Finding the Fourth Proportional to 422.00, 582.33 and 235.49

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Solution

The fourth proportional to 422.00, 582.33 and 235.49 is: 324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.00 : 582.33 = 235.49 : x
  2. Step 2: Convert to fraction form
    422.00/582.33 = 235.49/x
  3. Step 3: Cross multiply
    422.00x = 582.33 × 235.49
  4. Step 4: Simplify right side
    422.00x = 137,129.98
  5. Step 5: Solve for x
    x = 137,129.98/422.00
  6. Step 6: Final answer
    x = 324.96

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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.