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Finding the Fourth Proportional to 259.91, 387.90 and 226.82

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Solution

The fourth proportional to 259.91, 387.90 and 226.82 is: 338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.91 : 387.90 = 226.82 : x
  2. Step 2: Convert to fraction form
    259.91/387.90 = 226.82/x
  3. Step 3: Cross multiply
    259.91x = 387.90 × 226.82
  4. Step 4: Simplify right side
    259.91x = 87,981.54
  5. Step 5: Solve for x
    x = 87,981.54/259.91
  6. Step 6: Final answer
    x = 338.51

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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.