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Finding the Fourth Proportional to 778.06, 1,167.06 and 200.92

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Solution

The fourth proportional to 778.06, 1,167.06 and 200.92 is: 301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.06 : 1,167.06 = 200.92 : x
  2. Step 2: Convert to fraction form
    778.06/1,167.06 = 200.92/x
  3. Step 3: Cross multiply
    778.06x = 1,167.06 × 200.92
  4. Step 4: Simplify right side
    778.06x = 234,485.70
  5. Step 5: Solve for x
    x = 234,485.70/778.06
  6. Step 6: Final answer
    x = 301.37

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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.