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Finding the Fourth Proportional to 490.41, 676.76 and 293.85

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Solution

The fourth proportional to 490.41, 676.76 and 293.85 is: 405.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.41 : 676.76 = 293.85 : x
  2. Step 2: Convert to fraction form
    490.41/676.76 = 293.85/x
  3. Step 3: Cross multiply
    490.41x = 676.76 × 293.85
  4. Step 4: Simplify right side
    490.41x = 198,864.46
  5. Step 5: Solve for x
    x = 198,864.46/490.41
  6. Step 6: Final answer
    x = 405.51

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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.