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Finding the Fourth Proportional to 263.76, 397.74 and 226

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Solution

The fourth proportional to 263.76, 397.74 and 226 is: 340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.76 : 397.74 = 226 : x
  2. Step 2: Convert to fraction form
    263.76/397.74 = 226/x
  3. Step 3: Cross multiply
    263.76x = 397.74 × 226
  4. Step 4: Simplify right side
    263.76x = 89,889.24
  5. Step 5: Solve for x
    x = 89,889.24/263.76
  6. Step 6: Final answer
    x = 340.80

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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.