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Finding the Fourth Proportional to 222.64, 306.96 and 185.29

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Solution

The fourth proportional to 222.64, 306.96 and 185.29 is: 255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.64 : 306.96 = 185.29 : x
  2. Step 2: Convert to fraction form
    222.64/306.96 = 185.29/x
  3. Step 3: Cross multiply
    222.64x = 306.96 × 185.29
  4. Step 4: Simplify right side
    222.64x = 56,876.62
  5. Step 5: Solve for x
    x = 56,876.62/222.64
  6. Step 6: Final answer
    x = 255.46

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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.