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Finding the Fourth Proportional to 206.98, 311.07 and 197.38

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Solution

The fourth proportional to 206.98, 311.07 and 197.38 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.98 : 311.07 = 197.38 : x
  2. Step 2: Convert to fraction form
    206.98/311.07 = 197.38/x
  3. Step 3: Cross multiply
    206.98x = 311.07 × 197.38
  4. Step 4: Simplify right side
    206.98x = 61,399.00
  5. Step 5: Solve for x
    x = 61,399.00/206.98
  6. Step 6: Final answer
    x = 296.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.