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Finding the Fourth Proportional to 208.70, 311.31 and 195.94

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Solution

The fourth proportional to 208.70, 311.31 and 195.94 is: 292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.70 : 311.31 = 195.94 : x
  2. Step 2: Convert to fraction form
    208.70/311.31 = 195.94/x
  3. Step 3: Cross multiply
    208.70x = 311.31 × 195.94
  4. Step 4: Simplify right side
    208.70x = 60,998.08
  5. Step 5: Solve for x
    x = 60,998.08/208.70
  6. Step 6: Final answer
    x = 292.28

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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.