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Finding the Fourth Proportional to 223.20, 334.75 and 86.20

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Solution

The fourth proportional to 223.20, 334.75 and 86.20 is: 129.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 334.75 = 86.20 : x
  2. Step 2: Convert to fraction form
    223.20/334.75 = 86.20/x
  3. Step 3: Cross multiply
    223.20x = 334.75 × 86.20
  4. Step 4: Simplify right side
    223.20x = 28,855.45
  5. Step 5: Solve for x
    x = 28,855.45/223.20
  6. Step 6: Final answer
    x = 129.28

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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.