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Finding the Fourth Proportional to 190.81, 263.32 and 103.49

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Solution

The fourth proportional to 190.81, 263.32 and 103.49 is: 142.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.81 : 263.32 = 103.49 : x
  2. Step 2: Convert to fraction form
    190.81/263.32 = 103.49/x
  3. Step 3: Cross multiply
    190.81x = 263.32 × 103.49
  4. Step 4: Simplify right side
    190.81x = 27,249.80
  5. Step 5: Solve for x
    x = 27,249.80/190.81
  6. Step 6: Final answer
    x = 142.81

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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.