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Finding the Fourth Proportional to 208.82, 311.51 and 194.09

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Solution

The fourth proportional to 208.82, 311.51 and 194.09 is: 289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.82 : 311.51 = 194.09 : x
  2. Step 2: Convert to fraction form
    208.82/311.51 = 194.09/x
  3. Step 3: Cross multiply
    208.82x = 311.51 × 194.09
  4. Step 4: Simplify right side
    208.82x = 60,460.98
  5. Step 5: Solve for x
    x = 60,460.98/208.82
  6. Step 6: Final answer
    x = 289.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.