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Finding the Fourth Proportional to 142.22, 196.25 and 80.05

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Solution

The fourth proportional to 142.22, 196.25 and 80.05 is: 110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.22 : 196.25 = 80.05 : x
  2. Step 2: Convert to fraction form
    142.22/196.25 = 80.05/x
  3. Step 3: Cross multiply
    142.22x = 196.25 × 80.05
  4. Step 4: Simplify right side
    142.22x = 15,709.81
  5. Step 5: Solve for x
    x = 15,709.81/142.22
  6. Step 6: Final answer
    x = 110.46

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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.