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Finding the Fourth Proportional to 490.25, 676.17 and 313.07

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Solution

The fourth proportional to 490.25, 676.17 and 313.07 is: 431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 676.17 = 313.07 : x
  2. Step 2: Convert to fraction form
    490.25/676.17 = 313.07/x
  3. Step 3: Cross multiply
    490.25x = 676.17 × 313.07
  4. Step 4: Simplify right side
    490.25x = 211,685.16
  5. Step 5: Solve for x
    x = 211,685.16/490.25
  6. Step 6: Final answer
    x = 431.79

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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.