选择另一个元素之后的第一个出现的元素

我在页面上有以下HTML代码:

I've got the following HTML code on a page:

<h4>Some text</h4>
<p>
Some more text!
</p>

在我的.css中，我具有以下选择器来设置h4元素的样式.上面的HTML代码只是整个代码的一小部分；有更多div包裹着一个影子箱:

In my .css I've got the following selector to style the h4 element. The HTML code above is just a small part of the entire code; there are several divs more wrapped around belonging to a shadowbox:

#sb-wrapper #sb-wrapper-inner #sb-body #myDiv h4
{
    color               : #614E43;
    margin-top          : 5px;
    margin-left         : 6px;
}

因此，我的h4元素具有正确的样式，但我也想在HTML中设置p标记的样式.

So, I have the correct style for my h4 element, but I also want to style the p tag in my HTML.

使用CSS选择器可以吗?如果是的话，我该怎么办?

Is this possible with CSS-selectors? And if yes, how can I do this?