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Finding the Fourth Proportional to 169.96, 234.40 and 142.28

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Solution

The fourth proportional to 169.96, 234.40 and 142.28 is: 196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.96 : 234.40 = 142.28 : x
  2. Step 2: Convert to fraction form
    169.96/234.40 = 142.28/x
  3. Step 3: Cross multiply
    169.96x = 234.40 × 142.28
  4. Step 4: Simplify right side
    169.96x = 33,350.43
  5. Step 5: Solve for x
    x = 33,350.43/169.96
  6. Step 6: Final answer
    x = 196.23

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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.