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Finding the Fourth Proportional to 190.34, 262.67 and 112.71

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Solution

The fourth proportional to 190.34, 262.67 and 112.71 is: 155.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.34 : 262.67 = 112.71 : x
  2. Step 2: Convert to fraction form
    190.34/262.67 = 112.71/x
  3. Step 3: Cross multiply
    190.34x = 262.67 × 112.71
  4. Step 4: Simplify right side
    190.34x = 29,605.54
  5. Step 5: Solve for x
    x = 29,605.54/190.34
  6. Step 6: Final answer
    x = 155.54

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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.