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Finding the Fourth Proportional to 206.72, 307.96 and 197.36

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Solution

The fourth proportional to 206.72, 307.96 and 197.36 is: 294.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.72 : 307.96 = 197.36 : x
  2. Step 2: Convert to fraction form
    206.72/307.96 = 197.36/x
  3. Step 3: Cross multiply
    206.72x = 307.96 × 197.36
  4. Step 4: Simplify right side
    206.72x = 60,778.99
  5. Step 5: Solve for x
    x = 60,778.99/206.72
  6. Step 6: Final answer
    x = 294.02

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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.