Finding the Fourth Proportional to 204.26, 306.38 and 74.26
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Solution
The fourth proportional to 204.26, 306.38 and 74.26 is: 111.38
Step by Step Solution
- Step 1: Write the proportion equation
204.26 : 306.38 = 74.26 : x - Step 2: Convert to fraction form
204.26/306.38 = 74.26/x - Step 3: Cross multiply
204.26x = 306.38 × 74.26 - Step 4: Simplify right side
204.26x = 22,750.25 - Step 5: Solve for x
x = 22,750.25/204.26 - Step 6: Final answer
x = 111.38
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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.