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Hat sizes are 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:
6 and 7/8
Head Circumference (to the nearest 1/5 in):
21 and 3/5
Head Circumference (to the nearest cm) 55

Hat Size:
?
Head Circumference (to the nearest 1/5 in):
?
Head Circumference (to the nearest cm)
62

Make sure to keep the same denominator for Hat Size and Head Circumference (to the nearest 1/5 in)

  • Math -

    55/S = (21 3/5) / (6 7/8).
    Divide 21 3/5 by 6 7/8:
    55/S = 3.142/1
    Solve for S
    S = 55/3.142 = 17.5 cm = 6 4/5 in. = Size of hat.
    C = 55 cm = (55/2.54) in = 21.6 in. =
    21 3/5 in

    62/S = (21 3/5) /(6 7/8)
    S = 19.74 cm = (19.74/2.54) in =
    7.8 in = 7 4/5 in.

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