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Finding the Fourth Proportional to 193.88, 290.22 and 138.92

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Solution

The fourth proportional to 193.88, 290.22 and 138.92 is: 207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 290.22 = 138.92 : x
  2. Step 2: Convert to fraction form
    193.88/290.22 = 138.92/x
  3. Step 3: Cross multiply
    193.88x = 290.22 × 138.92
  4. Step 4: Simplify right side
    193.88x = 40,317.36
  5. Step 5: Solve for x
    x = 40,317.36/193.88
  6. Step 6: Final answer
    x = 207.95

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