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Finding the Fourth Proportional to 490.08, 735.60 and 298.08

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Solution

The fourth proportional to 490.08, 735.60 and 298.08 is: 447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 735.60 = 298.08 : x
  2. Step 2: Convert to fraction form
    490.08/735.60 = 298.08/x
  3. Step 3: Cross multiply
    490.08x = 735.60 × 298.08
  4. Step 4: Simplify right side
    490.08x = 219,267.65
  5. Step 5: Solve for x
    x = 219,267.65/490.08
  6. Step 6: Final answer
    x = 447.41

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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.