Finding the Fourth Proportional to 306.26, 422.94 and 261.74
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Solution
The fourth proportional to 306.26, 422.94 and 261.74 is: 361.45
Step by Step Solution
- Step 1: Write the proportion equation
306.26 : 422.94 = 261.74 : x - Step 2: Convert to fraction form
306.26/422.94 = 261.74/x - Step 3: Cross multiply
306.26x = 422.94 × 261.74 - Step 4: Simplify right side
306.26x = 110,697.95 - Step 5: Solve for x
x = 110,697.95/306.26 - Step 6: Final answer
x = 361.45
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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.