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Finding the Fourth Proportional to 190.92, 262.14 and 162.96

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Solution

The fourth proportional to 190.92, 262.14 and 162.96 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.92 : 262.14 = 162.96 : x
  2. Step 2: Convert to fraction form
    190.92/262.14 = 162.96/x
  3. Step 3: Cross multiply
    190.92x = 262.14 × 162.96
  4. Step 4: Simplify right side
    190.92x = 42,718.33
  5. Step 5: Solve for x
    x = 42,718.33/190.92
  6. Step 6: Final answer
    x = 223.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.