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Finding the Fourth Proportional to 205.94, 286.06 and 200.18

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Solution

The fourth proportional to 205.94, 286.06 and 200.18 is: 278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 286.06 = 200.18 : x
  2. Step 2: Convert to fraction form
    205.94/286.06 = 200.18/x
  3. Step 3: Cross multiply
    205.94x = 286.06 × 200.18
  4. Step 4: Simplify right side
    205.94x = 57,263.49
  5. Step 5: Solve for x
    x = 57,263.49/205.94
  6. Step 6: Final answer
    x = 278.06

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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.