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Finding the Fourth Proportional to 234.56, 349.58 and 226.76

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Solution

The fourth proportional to 234.56, 349.58 and 226.76 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 349.58 = 226.76 : x
  2. Step 2: Convert to fraction form
    234.56/349.58 = 226.76/x
  3. Step 3: Cross multiply
    234.56x = 349.58 × 226.76
  4. Step 4: Simplify right side
    234.56x = 79,270.76
  5. Step 5: Solve for x
    x = 79,270.76/234.56
  6. Step 6: Final answer
    x = 337.96

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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.