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Finding the Fourth Proportional to 222.21, 333.27 and 77.90

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Solution

The fourth proportional to 222.21, 333.27 and 77.90 is: 116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.21 : 333.27 = 77.90 : x
  2. Step 2: Convert to fraction form
    222.21/333.27 = 77.90/x
  3. Step 3: Cross multiply
    222.21x = 333.27 × 77.90
  4. Step 4: Simplify right side
    222.21x = 25,960.07
  5. Step 5: Solve for x
    x = 25,960.07/222.21
  6. Step 6: Final answer
    x = 116.83

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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.