Finding the Fourth Proportional to 201.23, 299.97 and 199.07
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Solution
The fourth proportional to 201.23, 299.97 and 199.07 is: 296.75
Step by Step Solution
- Step 1: Write the proportion equation
201.23 : 299.97 = 199.07 : x - Step 2: Convert to fraction form
201.23/299.97 = 199.07/x - Step 3: Cross multiply
201.23x = 299.97 × 199.07 - Step 4: Simplify right side
201.23x = 59,715.03 - Step 5: Solve for x
x = 59,715.03/201.23 - Step 6: Final answer
x = 296.75
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.