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Finding the Fourth Proportional to 422.74, 632.49 and 240.22

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Solution

The fourth proportional to 422.74, 632.49 and 240.22 is: 359.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.74 : 632.49 = 240.22 : x
  2. Step 2: Convert to fraction form
    422.74/632.49 = 240.22/x
  3. Step 3: Cross multiply
    422.74x = 632.49 × 240.22
  4. Step 4: Simplify right side
    422.74x = 151,936.75
  5. Step 5: Solve for x
    x = 151,936.75/422.74
  6. Step 6: Final answer
    x = 359.41

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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.