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Finding the Fourth Proportional to 494.63, 742.13 and 206.09

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Solution

The fourth proportional to 494.63, 742.13 and 206.09 is: 309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.63 : 742.13 = 206.09 : x
  2. Step 2: Convert to fraction form
    494.63/742.13 = 206.09/x
  3. Step 3: Cross multiply
    494.63x = 742.13 × 206.09
  4. Step 4: Simplify right side
    494.63x = 152,944.54
  5. Step 5: Solve for x
    x = 152,944.54/494.63
  6. Step 6: Final answer
    x = 309.21

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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.