Finding the Fourth Proportional to 201.44, 278 and 114.08
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Solution
The fourth proportional to 201.44, 278 and 114.08 is: 157.44
Step by Step Solution
- Step 1: Write the proportion equation
201.44 : 278 = 114.08 : x - Step 2: Convert to fraction form
201.44/278 = 114.08/x - Step 3: Cross multiply
201.44x = 278 × 114.08 - Step 4: Simplify right side
201.44x = 31,714.24 - Step 5: Solve for x
x = 31,714.24/201.44 - Step 6: Final answer
x = 157.44
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.