Finding the Fourth Proportional to 196.78, 294.91 and 81.09
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Solution
The fourth proportional to 196.78, 294.91 and 81.09 is: 121.53
Step by Step Solution
- Step 1: Write the proportion equation
196.78 : 294.91 = 81.09 : x - Step 2: Convert to fraction form
196.78/294.91 = 81.09/x - Step 3: Cross multiply
196.78x = 294.91 × 81.09 - Step 4: Simplify right side
196.78x = 23,914.25 - Step 5: Solve for x
x = 23,914.25/196.78 - Step 6: Final answer
x = 121.53
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.