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Finding the Fourth Proportional to 234.05, 351.08 and 71.71

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Solution

The fourth proportional to 234.05, 351.08 and 71.71 is: 107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.05 : 351.08 = 71.71 : x
  2. Step 2: Convert to fraction form
    234.05/351.08 = 71.71/x
  3. Step 3: Cross multiply
    234.05x = 351.08 × 71.71
  4. Step 4: Simplify right side
    234.05x = 25,175.25
  5. Step 5: Solve for x
    x = 25,175.25/234.05
  6. Step 6: Final answer
    x = 107.57

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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.