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Finding the Fourth Proportional to 234.56, 323.64 and 185.36

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Solution

The fourth proportional to 234.56, 323.64 and 185.36 is: 255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 323.64 = 185.36 : x
  2. Step 2: Convert to fraction form
    234.56/323.64 = 185.36/x
  3. Step 3: Cross multiply
    234.56x = 323.64 × 185.36
  4. Step 4: Simplify right side
    234.56x = 59,989.91
  5. Step 5: Solve for x
    x = 59,989.91/234.56
  6. Step 6: Final answer
    x = 255.76

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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.