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Finding the Fourth Proportional to 490.56, 676.15 and 342.93

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Solution

The fourth proportional to 490.56, 676.15 and 342.93 is: 472.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.56 : 676.15 = 342.93 : x
  2. Step 2: Convert to fraction form
    490.56/676.15 = 342.93/x
  3. Step 3: Cross multiply
    490.56x = 676.15 × 342.93
  4. Step 4: Simplify right side
    490.56x = 231,873.80
  5. Step 5: Solve for x
    x = 231,873.80/490.56
  6. Step 6: Final answer
    x = 472.68

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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.