Finding the Fourth Proportional to 196.62, 270.93 and 144.09
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Solution
The fourth proportional to 196.62, 270.93 and 144.09 is: 198.55
Step by Step Solution
- Step 1: Write the proportion equation
196.62 : 270.93 = 144.09 : x - Step 2: Convert to fraction form
196.62/270.93 = 144.09/x - Step 3: Cross multiply
196.62x = 270.93 × 144.09 - Step 4: Simplify right side
196.62x = 39,038.30 - Step 5: Solve for x
x = 39,038.30/196.62 - Step 6: Final answer
x = 198.55
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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.