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Finding the Fourth Proportional to 208.74, 311.16 and 196.98

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Solution

The fourth proportional to 208.74, 311.16 and 196.98 is: 293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.74 : 311.16 = 196.98 : x
  2. Step 2: Convert to fraction form
    208.74/311.16 = 196.98/x
  3. Step 3: Cross multiply
    208.74x = 311.16 × 196.98
  4. Step 4: Simplify right side
    208.74x = 61,292.30
  5. Step 5: Solve for x
    x = 61,292.30/208.74
  6. Step 6: Final answer
    x = 293.63

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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.