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Finding the Fourth Proportional to 490.08, 734.67 and 246.09

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Solution

The fourth proportional to 490.08, 734.67 and 246.09 is: 368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 734.67 = 246.09 : x
  2. Step 2: Convert to fraction form
    490.08/734.67 = 246.09/x
  3. Step 3: Cross multiply
    490.08x = 734.67 × 246.09
  4. Step 4: Simplify right side
    490.08x = 180,794.94
  5. Step 5: Solve for x
    x = 180,794.94/490.08
  6. Step 6: Final answer
    x = 368.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.