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Finding the Fourth Proportional to 816.41, 1,224.59 and 200.09

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Solution

The fourth proportional to 816.41, 1,224.59 and 200.09 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.41 : 1,224.59 = 200.09 : x
  2. Step 2: Convert to fraction form
    816.41/1,224.59 = 200.09/x
  3. Step 3: Cross multiply
    816.41x = 1,224.59 × 200.09
  4. Step 4: Simplify right side
    816.41x = 245,021.09
  5. Step 5: Solve for x
    x = 245,021.09/816.41
  6. Step 6: Final answer
    x = 300.12

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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.