Finding the Fourth Proportional to 300.42, 414.30 and 201.99
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Solution
The fourth proportional to 300.42, 414.30 and 201.99 is: 278.56
Step by Step Solution
- Step 1: Write the proportion equation
300.42 : 414.30 = 201.99 : x - Step 2: Convert to fraction form
300.42/414.30 = 201.99/x - Step 3: Cross multiply
300.42x = 414.30 × 201.99 - Step 4: Simplify right side
300.42x = 83,684.46 - Step 5: Solve for x
x = 83,684.46/300.42 - Step 6: Final answer
x = 278.56
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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.