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Finding the Fourth Proportional to 206.62, 286.40 and 203.18

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Solution

The fourth proportional to 206.62, 286.40 and 203.18 is: 281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.62 : 286.40 = 203.18 : x
  2. Step 2: Convert to fraction form
    206.62/286.40 = 203.18/x
  3. Step 3: Cross multiply
    206.62x = 286.40 × 203.18
  4. Step 4: Simplify right side
    206.62x = 58,189.83
  5. Step 5: Solve for x
    x = 58,189.83/206.62
  6. Step 6: Final answer
    x = 281.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.