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Finding the Fourth Proportional to 222.70, 334.15 and 76.50

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Solution

The fourth proportional to 222.70, 334.15 and 76.50 is: 114.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.70 : 334.15 = 76.50 : x
  2. Step 2: Convert to fraction form
    222.70/334.15 = 76.50/x
  3. Step 3: Cross multiply
    222.70x = 334.15 × 76.50
  4. Step 4: Simplify right side
    222.70x = 25,560.80
  5. Step 5: Solve for x
    x = 25,560.80/222.70
  6. Step 6: Final answer
    x = 114.78

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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.