Finding the Fourth Proportional to 381.26, 571.80 and 165
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Solution
The fourth proportional to 381.26, 571.80 and 165 is: 247.46
Step by Step Solution
- Step 1: Write the proportion equation
381.26 : 571.80 = 165 : x - Step 2: Convert to fraction form
381.26/571.80 = 165/x - Step 3: Cross multiply
381.26x = 571.80 × 165 - Step 4: Simplify right side
381.26x = 94,347.00 - Step 5: Solve for x
x = 94,347.00/381.26 - Step 6: Final answer
x = 247.46
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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.