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Finding the Fourth Proportional to 622.21, 932.62 and 270.41

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Solution

The fourth proportional to 622.21, 932.62 and 270.41 is: 405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.21 : 932.62 = 270.41 : x
  2. Step 2: Convert to fraction form
    622.21/932.62 = 270.41/x
  3. Step 3: Cross multiply
    622.21x = 932.62 × 270.41
  4. Step 4: Simplify right side
    622.21x = 252,189.43
  5. Step 5: Solve for x
    x = 252,189.43/622.21
  6. Step 6: Final answer
    x = 405.31

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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.