Finding the Fourth Proportional to 196.98, 271.88 and 114.09
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Solution
The fourth proportional to 196.98, 271.88 and 114.09 is: 157.47
Step by Step Solution
- Step 1: Write the proportion equation
196.98 : 271.88 = 114.09 : x - Step 2: Convert to fraction form
196.98/271.88 = 114.09/x - Step 3: Cross multiply
196.98x = 271.88 × 114.09 - Step 4: Simplify right side
196.98x = 31,018.22 - Step 5: Solve for x
x = 31,018.22/196.98 - Step 6: Final answer
x = 157.47
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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.