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Finding the Fourth Proportional to 226.83, 341.49 and 158.85

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Solution

The fourth proportional to 226.83, 341.49 and 158.85 is: 239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.83 : 341.49 = 158.85 : x
  2. Step 2: Convert to fraction form
    226.83/341.49 = 158.85/x
  3. Step 3: Cross multiply
    226.83x = 341.49 × 158.85
  4. Step 4: Simplify right side
    226.83x = 54,245.69
  5. Step 5: Solve for x
    x = 54,245.69/226.83
  6. Step 6: Final answer
    x = 239.15

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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.