Hat sizes determined by measuring the circumference of one's head in either inches or centimeters. Use ratio and proportion to complete the following table.

Hat size Head circumference Head circ
71/4 to nearest 1/5 in. near cm.

To use ratio and proportion to complete the table, we need to establish a relationship between the hat size and the head circumference in both inches and centimeters.

Let's start with the hat size 7 1/4. To find the corresponding head circumference in inches, we need to round it to the nearest 1/5 inch.

Now, we can set up a proportion to find the head circumference:

Hat size / Head circumference (in inches) = 7 1/4 / X

Let's simplify the fraction 7 1/4 to a decimal: 7.25.

So the proportion becomes:

7.25 / X = 7 1/4 / X

To solve for X, we can cross-multiply:

7.25X = (7 * 4 + 1)X

7.25X = 29X

Now, divide both sides of the equation by 29:

X = 7.25 / 29

X ≈ 0.25

Since we are rounding to the nearest 1/5 inch, we can round 0.25 to 0.2. Therefore, the head circumference for hat size 7 1/4 in inches is approximately 0.2 inches.

To find the head circumference in centimeters, we need to convert 0.2 inches to centimeters.

1 inch is approximately equal to 2.54 centimeters.

Therefore:

0.2 inches * 2.54 cm/inch ≈ 0.508 cm

So the head circumference for hat size 7 1/4 in centimeters is approximately 0.508 cm.

Using this process, you can follow the same steps for other hat sizes and fill in the remaining values in the table.