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Finding the Fourth Proportional to 190.68, 262.97 and 168.57

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Solution

The fourth proportional to 190.68, 262.97 and 168.57 is: 232.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.68 : 262.97 = 168.57 : x
  2. Step 2: Convert to fraction form
    190.68/262.97 = 168.57/x
  3. Step 3: Cross multiply
    190.68x = 262.97 × 168.57
  4. Step 4: Simplify right side
    190.68x = 44,328.85
  5. Step 5: Solve for x
    x = 44,328.85/190.68
  6. Step 6: Final answer
    x = 232.48

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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.