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Finding the Fourth Proportional to 222.08, 333.05 and 85.05

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Solution

The fourth proportional to 222.08, 333.05 and 85.05 is: 127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.08 : 333.05 = 85.05 : x
  2. Step 2: Convert to fraction form
    222.08/333.05 = 85.05/x
  3. Step 3: Cross multiply
    222.08x = 333.05 × 85.05
  4. Step 4: Simplify right side
    222.08x = 28,324.23
  5. Step 5: Solve for x
    x = 28,324.23/222.08
  6. Step 6: Final answer
    x = 127.54

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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.