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Finding the Fourth Proportional to 208.21, 311.56 and 179.66

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Solution

The fourth proportional to 208.21, 311.56 and 179.66 is: 268.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.21 : 311.56 = 179.66 : x
  2. Step 2: Convert to fraction form
    208.21/311.56 = 179.66/x
  3. Step 3: Cross multiply
    208.21x = 311.56 × 179.66
  4. Step 4: Simplify right side
    208.21x = 55,974.87
  5. Step 5: Solve for x
    x = 55,974.87/208.21
  6. Step 6: Final answer
    x = 268.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.