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Finding the Fourth Proportional to 418.52, 628.16 and 213.23

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Solution

The fourth proportional to 418.52, 628.16 and 213.23 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.52 : 628.16 = 213.23 : x
  2. Step 2: Convert to fraction form
    418.52/628.16 = 213.23/x
  3. Step 3: Cross multiply
    418.52x = 628.16 × 213.23
  4. Step 4: Simplify right side
    418.52x = 133,945.09
  5. Step 5: Solve for x
    x = 133,945.09/418.52
  6. Step 6: Final answer
    x = 320.04

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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.