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Finding the Fourth Proportional to 222.42, 334.97 and 168.69

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Solution

The fourth proportional to 222.42, 334.97 and 168.69 is: 254.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.42 : 334.97 = 168.69 : x
  2. Step 2: Convert to fraction form
    222.42/334.97 = 168.69/x
  3. Step 3: Cross multiply
    222.42x = 334.97 × 168.69
  4. Step 4: Simplify right side
    222.42x = 56,505.25
  5. Step 5: Solve for x
    x = 56,505.25/222.42
  6. Step 6: Final answer
    x = 254.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.