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Finding the Fourth Proportional to 490.75, 736.08 and 166.08

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Solution

The fourth proportional to 490.75, 736.08 and 166.08 is: 249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.75 : 736.08 = 166.08 : x
  2. Step 2: Convert to fraction form
    490.75/736.08 = 166.08/x
  3. Step 3: Cross multiply
    490.75x = 736.08 × 166.08
  4. Step 4: Simplify right side
    490.75x = 122,250.63
  5. Step 5: Solve for x
    x = 122,250.63/490.75
  6. Step 6: Final answer
    x = 249.11

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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.