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Finding the Fourth Proportional to 226.97, 313.22 and 123.47

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Solution

The fourth proportional to 226.97, 313.22 and 123.47 is: 170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.97 : 313.22 = 123.47 : x
  2. Step 2: Convert to fraction form
    226.97/313.22 = 123.47/x
  3. Step 3: Cross multiply
    226.97x = 313.22 × 123.47
  4. Step 4: Simplify right side
    226.97x = 38,672.50
  5. Step 5: Solve for x
    x = 38,672.50/226.97
  6. Step 6: Final answer
    x = 170.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.