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Finding the Fourth Proportional to 351.31, 527.10 and 214.42

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Solution

The fourth proportional to 351.31, 527.10 and 214.42 is: 321.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.31 : 527.10 = 214.42 : x
  2. Step 2: Convert to fraction form
    351.31/527.10 = 214.42/x
  3. Step 3: Cross multiply
    351.31x = 527.10 × 214.42
  4. Step 4: Simplify right side
    351.31x = 113,020.78
  5. Step 5: Solve for x
    x = 113,020.78/351.31
  6. Step 6: Final answer
    x = 321.71

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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.