Finding the Fourth Proportional to 300.24, 414.42 and 189.78
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Solution
The fourth proportional to 300.24, 414.42 and 189.78 is: 261.95
Step by Step Solution
- Step 1: Write the proportion equation
300.24 : 414.42 = 189.78 : x - Step 2: Convert to fraction form
300.24/414.42 = 189.78/x - Step 3: Cross multiply
300.24x = 414.42 × 189.78 - Step 4: Simplify right side
300.24x = 78,648.63 - Step 5: Solve for x
x = 78,648.63/300.24 - Step 6: Final answer
x = 261.95
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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.