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Finding the Fourth Proportional to 190.45, 262.83 and 103.13

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Solution

The fourth proportional to 190.45, 262.83 and 103.13 is: 142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.45 : 262.83 = 103.13 : x
  2. Step 2: Convert to fraction form
    190.45/262.83 = 103.13/x
  3. Step 3: Cross multiply
    190.45x = 262.83 × 103.13
  4. Step 4: Simplify right side
    190.45x = 27,103.96
  5. Step 5: Solve for x
    x = 27,103.96/190.45
  6. Step 6: Final answer
    x = 142.31

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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.