Finding the Fourth Proportional to 196.94, 271.79 and 114.08
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Solution
The fourth proportional to 196.94, 271.79 and 114.08 is: 157.43
Step by Step Solution
- Step 1: Write the proportion equation
196.94 : 271.79 = 114.08 : x - Step 2: Convert to fraction form
196.94/271.79 = 114.08/x - Step 3: Cross multiply
196.94x = 271.79 × 114.08 - Step 4: Simplify right side
196.94x = 31,004.30 - Step 5: Solve for x
x = 31,004.30/196.94 - Step 6: Final answer
x = 157.43
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.