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Finding the Fourth Proportional to 208.49, 311.33 and 197.96

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Solution

The fourth proportional to 208.49, 311.33 and 197.96 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 311.33 = 197.96 : x
  2. Step 2: Convert to fraction form
    208.49/311.33 = 197.96/x
  3. Step 3: Cross multiply
    208.49x = 311.33 × 197.96
  4. Step 4: Simplify right side
    208.49x = 61,628.34
  5. Step 5: Solve for x
    x = 61,628.34/208.49
  6. Step 6: Final answer
    x = 295.60

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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.