Finding the Fourth Proportional to 196.58, 270.97 and 155.07
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Solution
The fourth proportional to 196.58, 270.97 and 155.07 is: 213.75
Step by Step Solution
- Step 1: Write the proportion equation
196.58 : 270.97 = 155.07 : x - Step 2: Convert to fraction form
196.58/270.97 = 155.07/x - Step 3: Cross multiply
196.58x = 270.97 × 155.07 - Step 4: Simplify right side
196.58x = 42,019.32 - Step 5: Solve for x
x = 42,019.32/196.58 - Step 6: Final answer
x = 213.75
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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.