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Finding the Fourth Proportional to 208.94, 286.54 and 200.18

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Solution

The fourth proportional to 208.94, 286.54 and 200.18 is: 274.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 286.54 = 200.18 : x
  2. Step 2: Convert to fraction form
    208.94/286.54 = 200.18/x
  3. Step 3: Cross multiply
    208.94x = 286.54 × 200.18
  4. Step 4: Simplify right side
    208.94x = 57,359.58
  5. Step 5: Solve for x
    x = 57,359.58/208.94
  6. Step 6: Final answer
    x = 274.53

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