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Finding the Fourth Proportional to 395.14, 592.02 and 221.92

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Solution

The fourth proportional to 395.14, 592.02 and 221.92 is: 332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.14 : 592.02 = 221.92 : x
  2. Step 2: Convert to fraction form
    395.14/592.02 = 221.92/x
  3. Step 3: Cross multiply
    395.14x = 592.02 × 221.92
  4. Step 4: Simplify right side
    395.14x = 131,381.08
  5. Step 5: Solve for x
    x = 131,381.08/395.14
  6. Step 6: Final answer
    x = 332.49

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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.