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Finding the Fourth Proportional to 422.20, 631.62 and 356.46

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Solution

The fourth proportional to 422.20, 631.62 and 356.46 is: 533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.20 : 631.62 = 356.46 : x
  2. Step 2: Convert to fraction form
    422.20/631.62 = 356.46/x
  3. Step 3: Cross multiply
    422.20x = 631.62 × 356.46
  4. Step 4: Simplify right side
    422.20x = 225,147.27
  5. Step 5: Solve for x
    x = 225,147.27/422.20
  6. Step 6: Final answer
    x = 533.27

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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.