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Finding the Fourth Proportional to 234.70, 351.39 and 213.05

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Solution

The fourth proportional to 234.70, 351.39 and 213.05 is: 318.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.70 : 351.39 = 213.05 : x
  2. Step 2: Convert to fraction form
    234.70/351.39 = 213.05/x
  3. Step 3: Cross multiply
    234.70x = 351.39 × 213.05
  4. Step 4: Simplify right side
    234.70x = 74,865.32
  5. Step 5: Solve for x
    x = 74,865.32/234.70
  6. Step 6: Final answer
    x = 318.99

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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.