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Finding the Fourth Proportional to 222.84, 334.09 and 136.19

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Solution

The fourth proportional to 222.84, 334.09 and 136.19 is: 204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.84 : 334.09 = 136.19 : x
  2. Step 2: Convert to fraction form
    222.84/334.09 = 136.19/x
  3. Step 3: Cross multiply
    222.84x = 334.09 × 136.19
  4. Step 4: Simplify right side
    222.84x = 45,499.72
  5. Step 5: Solve for x
    x = 45,499.72/222.84
  6. Step 6: Final answer
    x = 204.18

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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.