Let the number of male staff be $M$ and the number of female staff be $F$.

According to the problem, 10% of the male staff is the same in number as 1/4th of the female staff. We can write this relationship as:

$0.1M = \frac{1}{4}F$

Multiplying both sides by 10 to eliminate the decimal:

$M = \frac{5}{2}F$

This means that the ratio of male staff to female staff is:

$M:F = \frac{5}{2}F : F = 5:2$

Thus, the ratio of male staff to female staff is 5:2.

Do you need any further details or have any questions?

Here are some related questions to explore:

1. What would the ratio be if the condition was 20% of male staff equaling 1/3rd of female staff?
2. How would the ratio change if the number of male and female staff doubled?
3. If there are 100 female staff, how many male staff would there be according to the given ratio?
4. What is the percentage of female staff in the total workforce based on this ratio?
5. How does altering the fraction for female staff (e.g., 1/5th instead of 1/4th) affect the outcome?

Tip: Ratios are simply comparisons between quantities, and they can be scaled up or down without changing their inherent relationship.