How do you solve for x using the proportional method in the ratio 2:x:4:2?

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To solve for x in the ratio 2:x:4:2 using the proportional method, follow these steps:

  1. Understand the ratio: The notation 2:x:4:2 signifies that we are considering a proportion between these four quantities. For our purpose, we can clarify this by writing it in fraction form:

    2/x = 4/2

  2. Cross-multiply: In the case of proportions, you can cross-multiply to find the unknown variable. This means you multiply the outer terms and the inner terms, setting them equal to each other:

    2 * 2 = 4 * x

  3. Calculate the products:

    4 = 4x

  4. Isolate x: To solve for x, divide both sides of the equation by 4:

    x = 4/4

  5. Final Result:

    x = 1

In conclusion, by applying the proportional method, we found that x equals 1. This approach effectively uses the properties of ratios to deduce the missing variable.

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