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Finding the Fourth Proportional to 490.14, 734.82 and 335.68

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Solution

The fourth proportional to 490.14, 734.82 and 335.68 is: 503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.14 : 734.82 = 335.68 : x
  2. Step 2: Convert to fraction form
    490.14/734.82 = 335.68/x
  3. Step 3: Cross multiply
    490.14x = 734.82 × 335.68
  4. Step 4: Simplify right side
    490.14x = 246,664.38
  5. Step 5: Solve for x
    x = 246,664.38/490.14
  6. Step 6: Final answer
    x = 503.25

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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.