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Finding the Fourth Proportional to 208.41, 286.13 and 203.05

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Solution

The fourth proportional to 208.41, 286.13 and 203.05 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.41 : 286.13 = 203.05 : x
  2. Step 2: Convert to fraction form
    208.41/286.13 = 203.05/x
  3. Step 3: Cross multiply
    208.41x = 286.13 × 203.05
  4. Step 4: Simplify right side
    208.41x = 58,098.70
  5. Step 5: Solve for x
    x = 58,098.70/208.41
  6. Step 6: Final answer
    x = 278.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.