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Finding the Fourth Proportional to 208.06, 286.90 and 203.80

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Solution

The fourth proportional to 208.06, 286.90 and 203.80 is: 281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.06 : 286.90 = 203.80 : x
  2. Step 2: Convert to fraction form
    208.06/286.90 = 203.80/x
  3. Step 3: Cross multiply
    208.06x = 286.90 × 203.80
  4. Step 4: Simplify right side
    208.06x = 58,470.22
  5. Step 5: Solve for x
    x = 58,470.22/208.06
  6. Step 6: Final answer
    x = 281.03

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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.