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Finding the Fourth Proportional to 226.76, 313.21 and 167.83

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Solution

The fourth proportional to 226.76, 313.21 and 167.83 is: 231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.76 : 313.21 = 167.83 : x
  2. Step 2: Convert to fraction form
    226.76/313.21 = 167.83/x
  3. Step 3: Cross multiply
    226.76x = 313.21 × 167.83
  4. Step 4: Simplify right side
    226.76x = 52,565.46
  5. Step 5: Solve for x
    x = 52,565.46/226.76
  6. Step 6: Final answer
    x = 231.82

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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.