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Finding the Fourth Proportional to 512.37, 767.97 and 219.78

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Solution

The fourth proportional to 512.37, 767.97 and 219.78 is: 329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 767.97 = 219.78 : x
  2. Step 2: Convert to fraction form
    512.37/767.97 = 219.78/x
  3. Step 3: Cross multiply
    512.37x = 767.97 × 219.78
  4. Step 4: Simplify right side
    512.37x = 168,784.45
  5. Step 5: Solve for x
    x = 168,784.45/512.37
  6. Step 6: Final answer
    x = 329.42

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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.