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Finding the Fourth Proportional to 234.38, 323.44 and 165.50

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Solution

The fourth proportional to 234.38, 323.44 and 165.50 is: 228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.38 : 323.44 = 165.50 : x
  2. Step 2: Convert to fraction form
    234.38/323.44 = 165.50/x
  3. Step 3: Cross multiply
    234.38x = 323.44 × 165.50
  4. Step 4: Simplify right side
    234.38x = 53,527.29
  5. Step 5: Solve for x
    x = 53,527.29/234.38
  6. Step 6: Final answer
    x = 228.38

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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.