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Finding the Fourth Proportional to 142.44, 196.11 and 120.54

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Solution

The fourth proportional to 142.44, 196.11 and 120.54 is: 165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.44 : 196.11 = 120.54 : x
  2. Step 2: Convert to fraction form
    142.44/196.11 = 120.54/x
  3. Step 3: Cross multiply
    142.44x = 196.11 × 120.54
  4. Step 4: Simplify right side
    142.44x = 23,639.10
  5. Step 5: Solve for x
    x = 23,639.10/142.44
  6. Step 6: Final answer
    x = 165.96

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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.