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Finding the Fourth Proportional to 490.08, 734.24 and 359.92

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Solution

The fourth proportional to 490.08, 734.24 and 359.92 is: 539.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 734.24 = 359.92 : x
  2. Step 2: Convert to fraction form
    490.08/734.24 = 359.92/x
  3. Step 3: Cross multiply
    490.08x = 734.24 × 359.92
  4. Step 4: Simplify right side
    490.08x = 264,267.66
  5. Step 5: Solve for x
    x = 264,267.66/490.08
  6. Step 6: Final answer
    x = 539.23

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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.