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Finding the Fourth Proportional to 519.27, 778.87 and 190.21

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Solution

The fourth proportional to 519.27, 778.87 and 190.21 is: 285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.27 : 778.87 = 190.21 : x
  2. Step 2: Convert to fraction form
    519.27/778.87 = 190.21/x
  3. Step 3: Cross multiply
    519.27x = 778.87 × 190.21
  4. Step 4: Simplify right side
    519.27x = 148,144.02
  5. Step 5: Solve for x
    x = 148,144.02/519.27
  6. Step 6: Final answer
    x = 285.29

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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.