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Finding the Fourth Proportional to 193.24, 289.40 and 170.17

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Solution

The fourth proportional to 193.24, 289.40 and 170.17 is: 254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.24 : 289.40 = 170.17 : x
  2. Step 2: Convert to fraction form
    193.24/289.40 = 170.17/x
  3. Step 3: Cross multiply
    193.24x = 289.40 × 170.17
  4. Step 4: Simplify right side
    193.24x = 49,245.75
  5. Step 5: Solve for x
    x = 49,245.75/193.24
  6. Step 6: Final answer
    x = 254.85

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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.