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Finding the Fourth Proportional to 490.23, 676.74 and 313.44

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Solution

The fourth proportional to 490.23, 676.74 and 313.44 is: 432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.23 : 676.74 = 313.44 : x
  2. Step 2: Convert to fraction form
    490.23/676.74 = 313.44/x
  3. Step 3: Cross multiply
    490.23x = 676.74 × 313.44
  4. Step 4: Simplify right side
    490.23x = 212,117.39
  5. Step 5: Solve for x
    x = 212,117.39/490.23
  6. Step 6: Final answer
    x = 432.69

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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.