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Finding the Fourth Proportional to 260.98, 389.26 and 226.47

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Solution

The fourth proportional to 260.98, 389.26 and 226.47 is: 337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.98 : 389.26 = 226.47 : x
  2. Step 2: Convert to fraction form
    260.98/389.26 = 226.47/x
  3. Step 3: Cross multiply
    260.98x = 389.26 × 226.47
  4. Step 4: Simplify right side
    260.98x = 88,156.56
  5. Step 5: Solve for x
    x = 88,156.56/260.98
  6. Step 6: Final answer
    x = 337.79

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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.