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Finding the Fourth Proportional to 169.92, 233.96 and 126.20

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Solution

The fourth proportional to 169.92, 233.96 and 126.20 is: 173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.92 : 233.96 = 126.20 : x
  2. Step 2: Convert to fraction form
    169.92/233.96 = 126.20/x
  3. Step 3: Cross multiply
    169.92x = 233.96 × 126.20
  4. Step 4: Simplify right side
    169.92x = 29,525.75
  5. Step 5: Solve for x
    x = 29,525.75/169.92
  6. Step 6: Final answer
    x = 173.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.