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Finding the Fourth Proportional to 208.50, 289.07 and 196.08

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Solution

The fourth proportional to 208.50, 289.07 and 196.08 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.50 : 289.07 = 196.08 : x
  2. Step 2: Convert to fraction form
    208.50/289.07 = 196.08/x
  3. Step 3: Cross multiply
    208.50x = 289.07 × 196.08
  4. Step 4: Simplify right side
    208.50x = 56,680.85
  5. Step 5: Solve for x
    x = 56,680.85/208.50
  6. Step 6: Final answer
    x = 271.85

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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.