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Finding the Fourth Proportional to 223.11, 334.26 and 142.11

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Solution

The fourth proportional to 223.11, 334.26 and 142.11 is: 212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.11 : 334.26 = 142.11 : x
  2. Step 2: Convert to fraction form
    223.11/334.26 = 142.11/x
  3. Step 3: Cross multiply
    223.11x = 334.26 × 142.11
  4. Step 4: Simplify right side
    223.11x = 47,501.69
  5. Step 5: Solve for x
    x = 47,501.69/223.11
  6. Step 6: Final answer
    x = 212.91

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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.