15:240::25:?
Understand the Problem
The question appears to be asking for a missing value in a proportional relationship. We need to find the number that relates to the number 25 in the same way that 15 relates to 240.
Answer
The missing number is $400$.
Answer for screen readers
The value of $x$ is 400.
Steps to Solve
- Set Up the Proportion
We can express the relationship between the numbers using a proportion:
$$ \frac{15}{240} = \frac{25}{x} $$
Here, $x$ is the unknown value we want to find.
- Cross Multiply
To solve for $x$, we will cross multiply:
$$ 15 \times x = 240 \times 25 $$
- Calculate the Right Side
Now, calculate the right side of the equation:
$$ 240 \times 25 = 6000 $$
So, our equation becomes:
$$ 15x = 6000 $$
- Solve for x
Now, divide both sides by 15:
$$ x = \frac{6000}{15} $$
- Calculate the Value of x
Finally, perform the division:
$$ x = 400 $$
The value of $x$ is 400.
More Information
The proportion we set up shows the relationship between two sets of numbers. This method of finding a missing value in a proportional relationship is commonly used in real-life applications, such as determining scale in maps or recipes.
Tips
- A common mistake is forgetting to cross multiply correctly. It's crucial to multiply across the equals sign properly.
- Another mistake is miscalculating the multiplication or division steps involved. Always double-check your arithmetic.