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Finding the Fourth Proportional to 223.20, 334.94 and 86.36

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Solution

The fourth proportional to 223.20, 334.94 and 86.36 is: 129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 334.94 = 86.36 : x
  2. Step 2: Convert to fraction form
    223.20/334.94 = 86.36/x
  3. Step 3: Cross multiply
    223.20x = 334.94 × 86.36
  4. Step 4: Simplify right side
    223.20x = 28,923.31
  5. Step 5: Solve for x
    x = 28,923.31/223.20
  6. Step 6: Final answer
    x = 129.58

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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.