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Finding the Fourth Proportional to 234.09, 351.75 and 233.49

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Solution

The fourth proportional to 234.09, 351.75 and 233.49 is: 350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.09 : 351.75 = 233.49 : x
  2. Step 2: Convert to fraction form
    234.09/351.75 = 233.49/x
  3. Step 3: Cross multiply
    234.09x = 351.75 × 233.49
  4. Step 4: Simplify right side
    234.09x = 82,130.11
  5. Step 5: Solve for x
    x = 82,130.11/234.09
  6. Step 6: Final answer
    x = 350.85

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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.