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Finding the Fourth Proportional to 490.09, 735.14 and 165.45

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Solution

The fourth proportional to 490.09, 735.14 and 165.45 is: 248.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.09 : 735.14 = 165.45 : x
  2. Step 2: Convert to fraction form
    490.09/735.14 = 165.45/x
  3. Step 3: Cross multiply
    490.09x = 735.14 × 165.45
  4. Step 4: Simplify right side
    490.09x = 121,629.33
  5. Step 5: Solve for x
    x = 121,629.33/490.09
  6. Step 6: Final answer
    x = 248.18

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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.