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Finding the Fourth Proportional to 206.69, 307.90 and 196.16

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Solution

The fourth proportional to 206.69, 307.90 and 196.16 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.69 : 307.90 = 196.16 : x
  2. Step 2: Convert to fraction form
    206.69/307.90 = 196.16/x
  3. Step 3: Cross multiply
    206.69x = 307.90 × 196.16
  4. Step 4: Simplify right side
    206.69x = 60,396.37
  5. Step 5: Solve for x
    x = 60,396.37/206.69
  6. Step 6: Final answer
    x = 292.21

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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.