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Finding the Fourth Proportional to 490.08, 676.42 and 342.66

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Solution

The fourth proportional to 490.08, 676.42 and 342.66 is: 472.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 676.42 = 342.66 : x
  2. Step 2: Convert to fraction form
    490.08/676.42 = 342.66/x
  3. Step 3: Cross multiply
    490.08x = 676.42 × 342.66
  4. Step 4: Simplify right side
    490.08x = 231,782.08
  5. Step 5: Solve for x
    x = 231,782.08/490.08
  6. Step 6: Final answer
    x = 472.95

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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.