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Finding the Fourth Proportional to 223.23, 308.03 and 168.12

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Solution

The fourth proportional to 223.23, 308.03 and 168.12 is: 231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.23 : 308.03 = 168.12 : x
  2. Step 2: Convert to fraction form
    223.23/308.03 = 168.12/x
  3. Step 3: Cross multiply
    223.23x = 308.03 × 168.12
  4. Step 4: Simplify right side
    223.23x = 51,786.00
  5. Step 5: Solve for x
    x = 51,786.00/223.23
  6. Step 6: Final answer
    x = 231.98

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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.