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Finding the Fourth Proportional to 490.79, 736.13 and 166.15

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Solution

The fourth proportional to 490.79, 736.13 and 166.15 is: 249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.79 : 736.13 = 166.15 : x
  2. Step 2: Convert to fraction form
    490.79/736.13 = 166.15/x
  3. Step 3: Cross multiply
    490.79x = 736.13 × 166.15
  4. Step 4: Simplify right side
    490.79x = 122,308.00
  5. Step 5: Solve for x
    x = 122,308.00/490.79
  6. Step 6: Final answer
    x = 249.21

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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.