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Finding the Fourth Proportional to 208.59, 311.47 and 166.88

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Solution

The fourth proportional to 208.59, 311.47 and 166.88 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.59 : 311.47 = 166.88 : x
  2. Step 2: Convert to fraction form
    208.59/311.47 = 166.88/x
  3. Step 3: Cross multiply
    208.59x = 311.47 × 166.88
  4. Step 4: Simplify right side
    208.59x = 51,978.11
  5. Step 5: Solve for x
    x = 51,978.11/208.59
  6. Step 6: Final answer
    x = 249.19

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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.