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Finding the Fourth Proportional to 511.77, 768.20 and 223.41

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Solution

The fourth proportional to 511.77, 768.20 and 223.41 is: 335.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.77 : 768.20 = 223.41 : x
  2. Step 2: Convert to fraction form
    511.77/768.20 = 223.41/x
  3. Step 3: Cross multiply
    511.77x = 768.20 × 223.41
  4. Step 4: Simplify right side
    511.77x = 171,622.44
  5. Step 5: Solve for x
    x = 171,622.44/511.77
  6. Step 6: Final answer
    x = 335.35

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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.