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Finding the Fourth Proportional to 206, 308.69 and 190.81

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Solution

The fourth proportional to 206, 308.69 and 190.81 is: 285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 308.69 = 190.81 : x
  2. Step 2: Convert to fraction form
    206/308.69 = 190.81/x
  3. Step 3: Cross multiply
    206x = 308.69 × 190.81
  4. Step 4: Simplify right side
    206x = 58,901.14
  5. Step 5: Solve for x
    x = 58,901.14/206
  6. Step 6: Final answer
    x = 285.93

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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.