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Finding the Fourth Proportional to 223.19, 308.01 and 167.83

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Solution

The fourth proportional to 223.19, 308.01 and 167.83 is: 231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.19 : 308.01 = 167.83 : x
  2. Step 2: Convert to fraction form
    223.19/308.01 = 167.83/x
  3. Step 3: Cross multiply
    223.19x = 308.01 × 167.83
  4. Step 4: Simplify right side
    223.19x = 51,692.55
  5. Step 5: Solve for x
    x = 51,692.55/223.19
  6. Step 6: Final answer
    x = 231.61

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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.