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Finding the Fourth Proportional to 208.39, 289.46 and 205.08

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Solution

The fourth proportional to 208.39, 289.46 and 205.08 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.39 : 289.46 = 205.08 : x
  2. Step 2: Convert to fraction form
    208.39/289.46 = 205.08/x
  3. Step 3: Cross multiply
    208.39x = 289.46 × 205.08
  4. Step 4: Simplify right side
    208.39x = 59,362.46
  5. Step 5: Solve for x
    x = 59,362.46/208.39
  6. Step 6: Final answer
    x = 284.86

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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.