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Finding the Fourth Proportional to 490.11, 676.33 and 293.59

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Solution

The fourth proportional to 490.11, 676.33 and 293.59 is: 405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.11 : 676.33 = 293.59 : x
  2. Step 2: Convert to fraction form
    490.11/676.33 = 293.59/x
  3. Step 3: Cross multiply
    490.11x = 676.33 × 293.59
  4. Step 4: Simplify right side
    490.11x = 198,560.34
  5. Step 5: Solve for x
    x = 198,560.34/490.11
  6. Step 6: Final answer
    x = 405.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.