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Finding the Fourth Proportional to 208.62, 289.18 and 205.18

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Solution

The fourth proportional to 208.62, 289.18 and 205.18 is: 284.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.62 : 289.18 = 205.18 : x
  2. Step 2: Convert to fraction form
    208.62/289.18 = 205.18/x
  3. Step 3: Cross multiply
    208.62x = 289.18 × 205.18
  4. Step 4: Simplify right side
    208.62x = 59,333.95
  5. Step 5: Solve for x
    x = 59,333.95/208.62
  6. Step 6: Final answer
    x = 284.41

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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.