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Finding the Fourth Proportional to 206.28, 308.14 and 165.78

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Solution

The fourth proportional to 206.28, 308.14 and 165.78 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.28 : 308.14 = 165.78 : x
  2. Step 2: Convert to fraction form
    206.28/308.14 = 165.78/x
  3. Step 3: Cross multiply
    206.28x = 308.14 × 165.78
  4. Step 4: Simplify right side
    206.28x = 51,083.03
  5. Step 5: Solve for x
    x = 51,083.03/206.28
  6. Step 6: Final answer
    x = 247.64

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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.