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Finding the Fourth Proportional to 208.87, 289.43 and 206.26

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Solution

The fourth proportional to 208.87, 289.43 and 206.26 is: 285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.87 : 289.43 = 206.26 : x
  2. Step 2: Convert to fraction form
    208.87/289.43 = 206.26/x
  3. Step 3: Cross multiply
    208.87x = 289.43 × 206.26
  4. Step 4: Simplify right side
    208.87x = 59,697.83
  5. Step 5: Solve for x
    x = 59,697.83/208.87
  6. Step 6: Final answer
    x = 285.81

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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.