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Finding the Fourth Proportional to 234.77, 352.20 and 119.22

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Solution

The fourth proportional to 234.77, 352.20 and 119.22 is: 178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.77 : 352.20 = 119.22 : x
  2. Step 2: Convert to fraction form
    234.77/352.20 = 119.22/x
  3. Step 3: Cross multiply
    234.77x = 352.20 × 119.22
  4. Step 4: Simplify right side
    234.77x = 41,989.28
  5. Step 5: Solve for x
    x = 41,989.28/234.77
  6. Step 6: Final answer
    x = 178.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.