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Finding the Fourth Proportional to 234.08, 351.24 and 142.84

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Solution

The fourth proportional to 234.08, 351.24 and 142.84 is: 214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.08 : 351.24 = 142.84 : x
  2. Step 2: Convert to fraction form
    234.08/351.24 = 142.84/x
  3. Step 3: Cross multiply
    234.08x = 351.24 × 142.84
  4. Step 4: Simplify right side
    234.08x = 50,171.12
  5. Step 5: Solve for x
    x = 50,171.12/234.08
  6. Step 6: Final answer
    x = 214.33

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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.