Finding the Fourth Proportional to 381.14, 571.62 and 107.26
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Solution
The fourth proportional to 381.14, 571.62 and 107.26 is: 160.86
Step by Step Solution
- Step 1: Write the proportion equation
381.14 : 571.62 = 107.26 : x - Step 2: Convert to fraction form
381.14/571.62 = 107.26/x - Step 3: Cross multiply
381.14x = 571.62 × 107.26 - Step 4: Simplify right side
381.14x = 61,310.53 - Step 5: Solve for x
x = 61,310.53/381.14 - Step 6: Final answer
x = 160.86
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.