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Finding the Fourth Proportional to 223.28, 334.96 and 79.20

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Solution

The fourth proportional to 223.28, 334.96 and 79.20 is: 118.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.28 : 334.96 = 79.20 : x
  2. Step 2: Convert to fraction form
    223.28/334.96 = 79.20/x
  3. Step 3: Cross multiply
    223.28x = 334.96 × 79.20
  4. Step 4: Simplify right side
    223.28x = 26,528.83
  5. Step 5: Solve for x
    x = 26,528.83/223.28
  6. Step 6: Final answer
    x = 118.81

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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.