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Finding the Fourth Proportional to 222.72, 333.87 and 85.67

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Solution

The fourth proportional to 222.72, 333.87 and 85.67 is: 128.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.72 : 333.87 = 85.67 : x
  2. Step 2: Convert to fraction form
    222.72/333.87 = 85.67/x
  3. Step 3: Cross multiply
    222.72x = 333.87 × 85.67
  4. Step 4: Simplify right side
    222.72x = 28,602.64
  5. Step 5: Solve for x
    x = 28,602.64/222.72
  6. Step 6: Final answer
    x = 128.42

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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.