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Finding the Fourth Proportional to 206.73, 307.84 and 196.23

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Solution

The fourth proportional to 206.73, 307.84 and 196.23 is: 292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.73 : 307.84 = 196.23 : x
  2. Step 2: Convert to fraction form
    206.73/307.84 = 196.23/x
  3. Step 3: Cross multiply
    206.73x = 307.84 × 196.23
  4. Step 4: Simplify right side
    206.73x = 60,407.44
  5. Step 5: Solve for x
    x = 60,407.44/206.73
  6. Step 6: Final answer
    x = 292.20

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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.