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Finding the Fourth Proportional to 490.05, 675.41 and 342.36

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Solution

The fourth proportional to 490.05, 675.41 and 342.36 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.05 : 675.41 = 342.36 : x
  2. Step 2: Convert to fraction form
    490.05/675.41 = 342.36/x
  3. Step 3: Cross multiply
    490.05x = 675.41 × 342.36
  4. Step 4: Simplify right side
    490.05x = 231,231.66
  5. Step 5: Solve for x
    x = 231,231.66/490.05
  6. Step 6: Final answer
    x = 471.85

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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.