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Finding the Fourth Proportional to 234.09, 323.06 and 155.27

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Solution

The fourth proportional to 234.09, 323.06 and 155.27 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.09 : 323.06 = 155.27 : x
  2. Step 2: Convert to fraction form
    234.09/323.06 = 155.27/x
  3. Step 3: Cross multiply
    234.09x = 323.06 × 155.27
  4. Step 4: Simplify right side
    234.09x = 50,162.43
  5. Step 5: Solve for x
    x = 50,162.43/234.09
  6. Step 6: Final answer
    x = 214.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.