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Finding the Fourth Proportional to 490.01, 734.83 and 201.47

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Solution

The fourth proportional to 490.01, 734.83 and 201.47 is: 302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.01 : 734.83 = 201.47 : x
  2. Step 2: Convert to fraction form
    490.01/734.83 = 201.47/x
  3. Step 3: Cross multiply
    490.01x = 734.83 × 201.47
  4. Step 4: Simplify right side
    490.01x = 148,042.02
  5. Step 5: Solve for x
    x = 148,042.02/490.01
  6. Step 6: Final answer
    x = 302.12

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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.