Finding the Fourth Proportional to 196.84, 271.69 and 113.97
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Solution
The fourth proportional to 196.84, 271.69 and 113.97 is: 157.31
Step by Step Solution
- Step 1: Write the proportion equation
196.84 : 271.69 = 113.97 : x - Step 2: Convert to fraction form
196.84/271.69 = 113.97/x - Step 3: Cross multiply
196.84x = 271.69 × 113.97 - Step 4: Simplify right side
196.84x = 30,964.51 - Step 5: Solve for x
x = 30,964.51/196.84 - Step 6: Final answer
x = 157.31
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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.