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Finding the Fourth Proportional to 190.25, 262.60 and 120.42

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Solution

The fourth proportional to 190.25, 262.60 and 120.42 is: 166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.25 : 262.60 = 120.42 : x
  2. Step 2: Convert to fraction form
    190.25/262.60 = 120.42/x
  3. Step 3: Cross multiply
    190.25x = 262.60 × 120.42
  4. Step 4: Simplify right side
    190.25x = 31,622.29
  5. Step 5: Solve for x
    x = 31,622.29/190.25
  6. Step 6: Final answer
    x = 166.22

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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.