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Finding the Fourth Proportional to 490.08, 734.64 and 201.24

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Solution

The fourth proportional to 490.08, 734.64 and 201.24 is: 301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 734.64 = 201.24 : x
  2. Step 2: Convert to fraction form
    490.08/734.64 = 201.24/x
  3. Step 3: Cross multiply
    490.08x = 734.64 × 201.24
  4. Step 4: Simplify right side
    490.08x = 147,838.95
  5. Step 5: Solve for x
    x = 147,838.95/490.08
  6. Step 6: Final answer
    x = 301.66

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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.