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Finding the Fourth Proportional to 490.34, 676.44 and 313.21

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Solution

The fourth proportional to 490.34, 676.44 and 313.21 is: 432.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 676.44 = 313.21 : x
  2. Step 2: Convert to fraction form
    490.34/676.44 = 313.21/x
  3. Step 3: Cross multiply
    490.34x = 676.44 × 313.21
  4. Step 4: Simplify right side
    490.34x = 211,869.21
  5. Step 5: Solve for x
    x = 211,869.21/490.34
  6. Step 6: Final answer
    x = 432.09

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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.