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Finding the Fourth Proportional to 223.45, 308.20 and 193.89

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Solution

The fourth proportional to 223.45, 308.20 and 193.89 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.45 : 308.20 = 193.89 : x
  2. Step 2: Convert to fraction form
    223.45/308.20 = 193.89/x
  3. Step 3: Cross multiply
    223.45x = 308.20 × 193.89
  4. Step 4: Simplify right side
    223.45x = 59,756.90
  5. Step 5: Solve for x
    x = 59,756.90/223.45
  6. Step 6: Final answer
    x = 267.43

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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.