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Finding the Fourth Proportional to 192.17, 288.21 and 94.57

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Solution

The fourth proportional to 192.17, 288.21 and 94.57 is: 141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.17 : 288.21 = 94.57 : x
  2. Step 2: Convert to fraction form
    192.17/288.21 = 94.57/x
  3. Step 3: Cross multiply
    192.17x = 288.21 × 94.57
  4. Step 4: Simplify right side
    192.17x = 27,256.02
  5. Step 5: Solve for x
    x = 27,256.02/192.17
  6. Step 6: Final answer
    x = 141.83

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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.