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Finding the Fourth Proportional to 234.30, 323.15 and 164.37

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Solution

The fourth proportional to 234.30, 323.15 and 164.37 is: 226.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.30 : 323.15 = 164.37 : x
  2. Step 2: Convert to fraction form
    234.30/323.15 = 164.37/x
  3. Step 3: Cross multiply
    234.30x = 323.15 × 164.37
  4. Step 4: Simplify right side
    234.30x = 53,115.34
  5. Step 5: Solve for x
    x = 53,115.34/234.30
  6. Step 6: Final answer
    x = 226.70

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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.