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Finding the Fourth Proportional to 208.22, 287.38 and 119.73

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Solution

The fourth proportional to 208.22, 287.38 and 119.73 is: 165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.22 : 287.38 = 119.73 : x
  2. Step 2: Convert to fraction form
    208.22/287.38 = 119.73/x
  3. Step 3: Cross multiply
    208.22x = 287.38 × 119.73
  4. Step 4: Simplify right side
    208.22x = 34,408.01
  5. Step 5: Solve for x
    x = 34,408.01/208.22
  6. Step 6: Final answer
    x = 165.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.