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Finding the Fourth Proportional to 206.83, 308.58 and 197.03

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Solution

The fourth proportional to 206.83, 308.58 and 197.03 is: 293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 308.58 = 197.03 : x
  2. Step 2: Convert to fraction form
    206.83/308.58 = 197.03/x
  3. Step 3: Cross multiply
    206.83x = 308.58 × 197.03
  4. Step 4: Simplify right side
    206.83x = 60,799.52
  5. Step 5: Solve for x
    x = 60,799.52/206.83
  6. Step 6: Final answer
    x = 293.96

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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.