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Finding the Fourth Proportional to 222.91, 306.96 and 167.56

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Solution

The fourth proportional to 222.91, 306.96 and 167.56 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.91 : 306.96 = 167.56 : x
  2. Step 2: Convert to fraction form
    222.91/306.96 = 167.56/x
  3. Step 3: Cross multiply
    222.91x = 306.96 × 167.56
  4. Step 4: Simplify right side
    222.91x = 51,434.22
  5. Step 5: Solve for x
    x = 51,434.22/222.91
  6. Step 6: Final answer
    x = 230.74

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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.