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Finding the Fourth Proportional to 208.87, 311.19 and 198.54

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Solution

The fourth proportional to 208.87, 311.19 and 198.54 is: 295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.87 : 311.19 = 198.54 : x
  2. Step 2: Convert to fraction form
    208.87/311.19 = 198.54/x
  3. Step 3: Cross multiply
    208.87x = 311.19 × 198.54
  4. Step 4: Simplify right side
    208.87x = 61,783.66
  5. Step 5: Solve for x
    x = 61,783.66/208.87
  6. Step 6: Final answer
    x = 295.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.