Finding the Fourth Proportional to 306.26, 422.91 and 208.38
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Solution
The fourth proportional to 306.26, 422.91 and 208.38 is: 287.75
Step by Step Solution
- Step 1: Write the proportion equation
306.26 : 422.91 = 208.38 : x - Step 2: Convert to fraction form
306.26/422.91 = 208.38/x - Step 3: Cross multiply
306.26x = 422.91 × 208.38 - Step 4: Simplify right side
306.26x = 88,125.99 - Step 5: Solve for x
x = 88,125.99/306.26 - Step 6: Final answer
x = 287.75
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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.