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Finding the Fourth Proportional to 222.85, 334.14 and 85.84

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Solution

The fourth proportional to 222.85, 334.14 and 85.84 is: 128.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.85 : 334.14 = 85.84 : x
  2. Step 2: Convert to fraction form
    222.85/334.14 = 85.84/x
  3. Step 3: Cross multiply
    222.85x = 334.14 × 85.84
  4. Step 4: Simplify right side
    222.85x = 28,682.58
  5. Step 5: Solve for x
    x = 28,682.58/222.85
  6. Step 6: Final answer
    x = 128.71

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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.