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Finding the Fourth Proportional to 490.24, 676.24 and 343.23

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Solution

The fourth proportional to 490.24, 676.24 and 343.23 is: 473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.24 : 676.24 = 343.23 : x
  2. Step 2: Convert to fraction form
    490.24/676.24 = 343.23/x
  3. Step 3: Cross multiply
    490.24x = 676.24 × 343.23
  4. Step 4: Simplify right side
    490.24x = 232,105.86
  5. Step 5: Solve for x
    x = 232,105.86/490.24
  6. Step 6: Final answer
    x = 473.45

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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.