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Finding the Fourth Proportional to 331.08, 495.90 and 202.44

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Solution

The fourth proportional to 331.08, 495.90 and 202.44 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.08 : 495.90 = 202.44 : x
  2. Step 2: Convert to fraction form
    331.08/495.90 = 202.44/x
  3. Step 3: Cross multiply
    331.08x = 495.90 × 202.44
  4. Step 4: Simplify right side
    331.08x = 100,390.00
  5. Step 5: Solve for x
    x = 100,390.00/331.08
  6. Step 6: Final answer
    x = 303.22

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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.