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Finding the Fourth Proportional to 222.12, 306.42 and 189.72

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Solution

The fourth proportional to 222.12, 306.42 and 189.72 is: 261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.12 : 306.42 = 189.72 : x
  2. Step 2: Convert to fraction form
    222.12/306.42 = 189.72/x
  3. Step 3: Cross multiply
    222.12x = 306.42 × 189.72
  4. Step 4: Simplify right side
    222.12x = 58,134.00
  5. Step 5: Solve for x
    x = 58,134.00/222.12
  6. Step 6: Final answer
    x = 261.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.