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Finding the Fourth Proportional to 190.27, 262.57 and 102.94

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Solution

The fourth proportional to 190.27, 262.57 and 102.94 is: 142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.27 : 262.57 = 102.94 : x
  2. Step 2: Convert to fraction form
    190.27/262.57 = 102.94/x
  3. Step 3: Cross multiply
    190.27x = 262.57 × 102.94
  4. Step 4: Simplify right side
    190.27x = 27,027.95
  5. Step 5: Solve for x
    x = 27,027.95/190.27
  6. Step 6: Final answer
    x = 142.05

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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.