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Finding the Fourth Proportional to 427.87, 640.97 and 222.57

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Solution

The fourth proportional to 427.87, 640.97 and 222.57 is: 333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.87 : 640.97 = 222.57 : x
  2. Step 2: Convert to fraction form
    427.87/640.97 = 222.57/x
  3. Step 3: Cross multiply
    427.87x = 640.97 × 222.57
  4. Step 4: Simplify right side
    427.87x = 142,659.58
  5. Step 5: Solve for x
    x = 142,659.58/427.87
  6. Step 6: Final answer
    x = 333.42

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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.