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Finding the Fourth Proportional to 206.82, 311.76 and 195.03

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Solution

The fourth proportional to 206.82, 311.76 and 195.03 is: 293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.82 : 311.76 = 195.03 : x
  2. Step 2: Convert to fraction form
    206.82/311.76 = 195.03/x
  3. Step 3: Cross multiply
    206.82x = 311.76 × 195.03
  4. Step 4: Simplify right side
    206.82x = 60,802.55
  5. Step 5: Solve for x
    x = 60,802.55/206.82
  6. Step 6: Final answer
    x = 293.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.