Step 1: Understanding the Concept:
The Golden Mean Ratio, represented by the Greek letter Phi (\(\phi\)), is a mathematical ratio often found in nature and used in art and architecture to achieve aesthetic harmony.
Step 2: Key Formula or Approach:
The Golden Ratio is defined as:
\[ \phi = \frac{1 + \sqrt{5}}{2} \]
Calculating the numerical value:
\[ \phi \approx \frac{1 + 2.236}{2} = \frac{3.236}{2} = 1.618 \]
Step 3: Detailed Explanation:
In architectural design, this ratio is used to create pleasing proportions for building facades, floor plans, and window placements.
History shows its application in the Parthenon in Athens and the Great Pyramid of Giza.
Other constants listed:
(A) 1.414 is \(\sqrt{2}\).
(C) 2.718 is Euler's number (\(e\)).
(D) 3.142 is Pi (\(\pi\)).
Step 4: Final Answer:
The Golden Mean Ratio is approximately 1.618.