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Finding the Fourth Proportional to 206.80, 285.36 and 118.28

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Solution

The fourth proportional to 206.80, 285.36 and 118.28 is: 163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.80 : 285.36 = 118.28 : x
  2. Step 2: Convert to fraction form
    206.80/285.36 = 118.28/x
  3. Step 3: Cross multiply
    206.80x = 285.36 × 118.28
  4. Step 4: Simplify right side
    206.80x = 33,752.38
  5. Step 5: Solve for x
    x = 33,752.38/206.80
  6. Step 6: Final answer
    x = 163.21

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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.