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Finding the Fourth Proportional to 234.74, 350.50 and 227.90

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Solution

The fourth proportional to 234.74, 350.50 and 227.90 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.74 : 350.50 = 227.90 : x
  2. Step 2: Convert to fraction form
    234.74/350.50 = 227.90/x
  3. Step 3: Cross multiply
    234.74x = 350.50 × 227.90
  4. Step 4: Simplify right side
    234.74x = 79,878.95
  5. Step 5: Solve for x
    x = 79,878.95/234.74
  6. Step 6: Final answer
    x = 340.29

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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.