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Finding the Fourth Proportional to 206.78, 285.36 and 118.27

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Solution

The fourth proportional to 206.78, 285.36 and 118.27 is: 163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.78 : 285.36 = 118.27 : x
  2. Step 2: Convert to fraction form
    206.78/285.36 = 118.27/x
  3. Step 3: Cross multiply
    206.78x = 285.36 × 118.27
  4. Step 4: Simplify right side
    206.78x = 33,749.88
  5. Step 5: Solve for x
    x = 33,749.88/206.78
  6. Step 6: Final answer
    x = 163.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.