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Finding the Fourth Proportional to 234.59, 351.88 and 112.49

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Solution

The fourth proportional to 234.59, 351.88 and 112.49 is: 168.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.59 : 351.88 = 112.49 : x
  2. Step 2: Convert to fraction form
    234.59/351.88 = 112.49/x
  3. Step 3: Cross multiply
    234.59x = 351.88 × 112.49
  4. Step 4: Simplify right side
    234.59x = 39,580.94
  5. Step 5: Solve for x
    x = 39,580.94/234.59
  6. Step 6: Final answer
    x = 168.72

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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.