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Finding the Fourth Proportional to 190.71, 262.92 and 163.38

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Solution

The fourth proportional to 190.71, 262.92 and 163.38 is: 225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.71 : 262.92 = 163.38 : x
  2. Step 2: Convert to fraction form
    190.71/262.92 = 163.38/x
  3. Step 3: Cross multiply
    190.71x = 262.92 × 163.38
  4. Step 4: Simplify right side
    190.71x = 42,955.87
  5. Step 5: Solve for x
    x = 42,955.87/190.71
  6. Step 6: Final answer
    x = 225.24

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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.