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Finding the Fourth Proportional to 208.23, 289.34 and 206.11

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Solution

The fourth proportional to 208.23, 289.34 and 206.11 is: 286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.23 : 289.34 = 206.11 : x
  2. Step 2: Convert to fraction form
    208.23/289.34 = 206.11/x
  3. Step 3: Cross multiply
    208.23x = 289.34 × 206.11
  4. Step 4: Simplify right side
    208.23x = 59,635.87
  5. Step 5: Solve for x
    x = 59,635.87/208.23
  6. Step 6: Final answer
    x = 286.39

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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.