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Finding the Fourth Proportional to 265.91, 400.26 and 226.28

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Solution

The fourth proportional to 265.91, 400.26 and 226.28 is: 340.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 400.26 = 226.28 : x
  2. Step 2: Convert to fraction form
    265.91/400.26 = 226.28/x
  3. Step 3: Cross multiply
    265.91x = 400.26 × 226.28
  4. Step 4: Simplify right side
    265.91x = 90,568.83
  5. Step 5: Solve for x
    x = 90,568.83/265.91
  6. Step 6: Final answer
    x = 340.61

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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.