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Finding the Fourth Proportional to 208.73, 311.39 and 174.71

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Solution

The fourth proportional to 208.73, 311.39 and 174.71 is: 260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.73 : 311.39 = 174.71 : x
  2. Step 2: Convert to fraction form
    208.73/311.39 = 174.71/x
  3. Step 3: Cross multiply
    208.73x = 311.39 × 174.71
  4. Step 4: Simplify right side
    208.73x = 54,400.52
  5. Step 5: Solve for x
    x = 54,400.52/208.73
  6. Step 6: Final answer
    x = 260.63

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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.