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Finding the Fourth Proportional to 206.31, 308.10 and 195.78

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Solution

The fourth proportional to 206.31, 308.10 and 195.78 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.31 : 308.10 = 195.78 : x
  2. Step 2: Convert to fraction form
    206.31/308.10 = 195.78/x
  3. Step 3: Cross multiply
    206.31x = 308.10 × 195.78
  4. Step 4: Simplify right side
    206.31x = 60,319.82
  5. Step 5: Solve for x
    x = 60,319.82/206.31
  6. Step 6: Final answer
    x = 292.37

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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.