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Finding the Fourth Proportional to 142.44, 196.57 and 80.25

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Solution

The fourth proportional to 142.44, 196.57 and 80.25 is: 110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.44 : 196.57 = 80.25 : x
  2. Step 2: Convert to fraction form
    142.44/196.57 = 80.25/x
  3. Step 3: Cross multiply
    142.44x = 196.57 × 80.25
  4. Step 4: Simplify right side
    142.44x = 15,774.54
  5. Step 5: Solve for x
    x = 15,774.54/142.44
  6. Step 6: Final answer
    x = 110.75

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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.