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Finding the Fourth Proportional to 190.26, 262.20 and 140.88

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Solution

The fourth proportional to 190.26, 262.20 and 140.88 is: 194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.26 : 262.20 = 140.88 : x
  2. Step 2: Convert to fraction form
    190.26/262.20 = 140.88/x
  3. Step 3: Cross multiply
    190.26x = 262.20 × 140.88
  4. Step 4: Simplify right side
    190.26x = 36,938.74
  5. Step 5: Solve for x
    x = 36,938.74/190.26
  6. Step 6: Final answer
    x = 194.15

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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.