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Finding the Fourth Proportional to 395.20, 592.34 and 221.78

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Solution

The fourth proportional to 395.20, 592.34 and 221.78 is: 332.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.20 : 592.34 = 221.78 : x
  2. Step 2: Convert to fraction form
    395.20/592.34 = 221.78/x
  3. Step 3: Cross multiply
    395.20x = 592.34 × 221.78
  4. Step 4: Simplify right side
    395.20x = 131,369.17
  5. Step 5: Solve for x
    x = 131,369.17/395.20
  6. Step 6: Final answer
    x = 332.41

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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.