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Finding the Fourth Proportional to 234.23, 323.37 and 155.65

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Solution

The fourth proportional to 234.23, 323.37 and 155.65 is: 214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.23 : 323.37 = 155.65 : x
  2. Step 2: Convert to fraction form
    234.23/323.37 = 155.65/x
  3. Step 3: Cross multiply
    234.23x = 323.37 × 155.65
  4. Step 4: Simplify right side
    234.23x = 50,333.53
  5. Step 5: Solve for x
    x = 50,333.53/234.23
  6. Step 6: Final answer
    x = 214.89

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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.