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Finding the Fourth Proportional to 234.34, 349.59 and 227.72

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Solution

The fourth proportional to 234.34, 349.59 and 227.72 is: 339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.34 : 349.59 = 227.72 : x
  2. Step 2: Convert to fraction form
    234.34/349.59 = 227.72/x
  3. Step 3: Cross multiply
    234.34x = 349.59 × 227.72
  4. Step 4: Simplify right side
    234.34x = 79,608.63
  5. Step 5: Solve for x
    x = 79,608.63/234.34
  6. Step 6: Final answer
    x = 339.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.