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Finding the Fourth Proportional to 193.84, 290.62 and 72.11

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Solution

The fourth proportional to 193.84, 290.62 and 72.11 is: 108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 290.62 = 72.11 : x
  2. Step 2: Convert to fraction form
    193.84/290.62 = 72.11/x
  3. Step 3: Cross multiply
    193.84x = 290.62 × 72.11
  4. Step 4: Simplify right side
    193.84x = 20,956.61
  5. Step 5: Solve for x
    x = 20,956.61/193.84
  6. Step 6: Final answer
    x = 108.11

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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.