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Finding the Fourth Proportional to 226.91, 313.13 and 123.41

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Solution

The fourth proportional to 226.91, 313.13 and 123.41 is: 170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.91 : 313.13 = 123.41 : x
  2. Step 2: Convert to fraction form
    226.91/313.13 = 123.41/x
  3. Step 3: Cross multiply
    226.91x = 313.13 × 123.41
  4. Step 4: Simplify right side
    226.91x = 38,641.81
  5. Step 5: Solve for x
    x = 38,641.81/226.91
  6. Step 6: Final answer
    x = 170.30

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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.