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Finding the Fourth Proportional to 234.52, 351.68 and 137.12

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Solution

The fourth proportional to 234.52, 351.68 and 137.12 is: 205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.52 : 351.68 = 137.12 : x
  2. Step 2: Convert to fraction form
    234.52/351.68 = 137.12/x
  3. Step 3: Cross multiply
    234.52x = 351.68 × 137.12
  4. Step 4: Simplify right side
    234.52x = 48,219.92
  5. Step 5: Solve for x
    x = 48,219.92/234.52
  6. Step 6: Final answer
    x = 205.61

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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.