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Finding the Fourth Proportional to 349.33, 523.26 and 227.23

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Solution

The fourth proportional to 349.33, 523.26 and 227.23 is: 340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.33 : 523.26 = 227.23 : x
  2. Step 2: Convert to fraction form
    349.33/523.26 = 227.23/x
  3. Step 3: Cross multiply
    349.33x = 523.26 × 227.23
  4. Step 4: Simplify right side
    349.33x = 118,900.37
  5. Step 5: Solve for x
    x = 118,900.37/349.33
  6. Step 6: Final answer
    x = 340.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.