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Finding the Fourth Proportional to 223.62, 334.96 and 169.84

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Solution

The fourth proportional to 223.62, 334.96 and 169.84 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.62 : 334.96 = 169.84 : x
  2. Step 2: Convert to fraction form
    223.62/334.96 = 169.84/x
  3. Step 3: Cross multiply
    223.62x = 334.96 × 169.84
  4. Step 4: Simplify right side
    223.62x = 56,889.61
  5. Step 5: Solve for x
    x = 56,889.61/223.62
  6. Step 6: Final answer
    x = 254.40

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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.