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Finding the Fourth Proportional to 351.98, 527.56 and 213.19

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Solution

The fourth proportional to 351.98, 527.56 and 213.19 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.98 : 527.56 = 213.19 : x
  2. Step 2: Convert to fraction form
    351.98/527.56 = 213.19/x
  3. Step 3: Cross multiply
    351.98x = 527.56 × 213.19
  4. Step 4: Simplify right side
    351.98x = 112,470.52
  5. Step 5: Solve for x
    x = 112,470.52/351.98
  6. Step 6: Final answer
    x = 319.54

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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.