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Finding the Fourth Proportional to 418.50, 628.01 and 213.10

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Solution

The fourth proportional to 418.50, 628.01 and 213.10 is: 319.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.50 : 628.01 = 213.10 : x
  2. Step 2: Convert to fraction form
    418.50/628.01 = 213.10/x
  3. Step 3: Cross multiply
    418.50x = 628.01 × 213.10
  4. Step 4: Simplify right side
    418.50x = 133,827.09
  5. Step 5: Solve for x
    x = 133,827.09/418.50
  6. Step 6: Final answer
    x = 319.78

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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.