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Finding the Fourth Proportional to 222.87, 334.04 and 136.07

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Solution

The fourth proportional to 222.87, 334.04 and 136.07 is: 203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.87 : 334.04 = 136.07 : x
  2. Step 2: Convert to fraction form
    222.87/334.04 = 136.07/x
  3. Step 3: Cross multiply
    222.87x = 334.04 × 136.07
  4. Step 4: Simplify right side
    222.87x = 45,450.47
  5. Step 5: Solve for x
    x = 45,450.47/222.87
  6. Step 6: Final answer
    x = 203.93

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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.