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Finding the Fourth Proportional to 490.67, 735.52 and 202.31

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Solution

The fourth proportional to 490.67, 735.52 and 202.31 is: 303.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.67 : 735.52 = 202.31 : x
  2. Step 2: Convert to fraction form
    490.67/735.52 = 202.31/x
  3. Step 3: Cross multiply
    490.67x = 735.52 × 202.31
  4. Step 4: Simplify right side
    490.67x = 148,803.05
  5. Step 5: Solve for x
    x = 148,803.05/490.67
  6. Step 6: Final answer
    x = 303.27

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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.