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Finding the Fourth Proportional to 490.06, 675.78 and 340.85

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Solution

The fourth proportional to 490.06, 675.78 and 340.85 is: 470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.06 : 675.78 = 340.85 : x
  2. Step 2: Convert to fraction form
    490.06/675.78 = 340.85/x
  3. Step 3: Cross multiply
    490.06x = 675.78 × 340.85
  4. Step 4: Simplify right side
    490.06x = 230,340.02
  5. Step 5: Solve for x
    x = 230,340.02/490.06
  6. Step 6: Final answer
    x = 470.03

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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.