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Finding the Fourth Proportional to 513.90, 771.22 and 205.84

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Solution

The fourth proportional to 513.90, 771.22 and 205.84 is: 308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.90 : 771.22 = 205.84 : x
  2. Step 2: Convert to fraction form
    513.90/771.22 = 205.84/x
  3. Step 3: Cross multiply
    513.90x = 771.22 × 205.84
  4. Step 4: Simplify right side
    513.90x = 158,747.92
  5. Step 5: Solve for x
    x = 158,747.92/513.90
  6. Step 6: Final answer
    x = 308.91

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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.