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Finding the Fourth Proportional to 223.44, 334.85 and 136.80

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Solution

The fourth proportional to 223.44, 334.85 and 136.80 is: 205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.44 : 334.85 = 136.80 : x
  2. Step 2: Convert to fraction form
    223.44/334.85 = 136.80/x
  3. Step 3: Cross multiply
    223.44x = 334.85 × 136.80
  4. Step 4: Simplify right side
    223.44x = 45,806.80
  5. Step 5: Solve for x
    x = 45,806.80/223.44
  6. Step 6: Final answer
    x = 205.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.