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Finding the Fourth Proportional to 354.21, 531.42 and 252.15

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Solution

The fourth proportional to 354.21, 531.42 and 252.15 is: 378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.21 : 531.42 = 252.15 : x
  2. Step 2: Convert to fraction form
    354.21/531.42 = 252.15/x
  3. Step 3: Cross multiply
    354.21x = 531.42 × 252.15
  4. Step 4: Simplify right side
    354.21x = 133,996.08
  5. Step 5: Solve for x
    x = 133,996.08/354.21
  6. Step 6: Final answer
    x = 378.29

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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.