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Finding the Fourth Proportional to 208.68, 311.17 and 194.76

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Solution

The fourth proportional to 208.68, 311.17 and 194.76 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.68 : 311.17 = 194.76 : x
  2. Step 2: Convert to fraction form
    208.68/311.17 = 194.76/x
  3. Step 3: Cross multiply
    208.68x = 311.17 × 194.76
  4. Step 4: Simplify right side
    208.68x = 60,603.47
  5. Step 5: Solve for x
    x = 60,603.47/208.68
  6. Step 6: Final answer
    x = 290.41

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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.