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Finding the Fourth Proportional to 205.70, 285.81 and 203.56

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Solution

The fourth proportional to 205.70, 285.81 and 203.56 is: 282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 285.81 = 203.56 : x
  2. Step 2: Convert to fraction form
    205.70/285.81 = 203.56/x
  3. Step 3: Cross multiply
    205.70x = 285.81 × 203.56
  4. Step 4: Simplify right side
    205.70x = 58,177.04
  5. Step 5: Solve for x
    x = 58,177.04/205.70
  6. Step 6: Final answer
    x = 282.83

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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.