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Finding the Fourth Proportional to 395.72, 593.13 and 222.47

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Solution

The fourth proportional to 395.72, 593.13 and 222.47 is: 333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 593.13 = 222.47 : x
  2. Step 2: Convert to fraction form
    395.72/593.13 = 222.47/x
  3. Step 3: Cross multiply
    395.72x = 593.13 × 222.47
  4. Step 4: Simplify right side
    395.72x = 131,949.55
  5. Step 5: Solve for x
    x = 131,949.55/395.72
  6. Step 6: Final answer
    x = 333.44

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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.