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Finding the Fourth Proportional to 263.26, 396.46 and 229.43

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Solution

The fourth proportional to 263.26, 396.46 and 229.43 is: 345.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.26 : 396.46 = 229.43 : x
  2. Step 2: Convert to fraction form
    263.26/396.46 = 229.43/x
  3. Step 3: Cross multiply
    263.26x = 396.46 × 229.43
  4. Step 4: Simplify right side
    263.26x = 90,959.82
  5. Step 5: Solve for x
    x = 90,959.82/263.26
  6. Step 6: Final answer
    x = 345.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.