Finding the Fourth Proportional to 305.26, 457.88 and 77.26
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Solution
The fourth proportional to 305.26, 457.88 and 77.26 is: 115.89
Step by Step Solution
- Step 1: Write the proportion equation
305.26 : 457.88 = 77.26 : x - Step 2: Convert to fraction form
305.26/457.88 = 77.26/x - Step 3: Cross multiply
305.26x = 457.88 × 77.26 - Step 4: Simplify right side
305.26x = 35,375.81 - Step 5: Solve for x
x = 35,375.81/305.26 - Step 6: Final answer
x = 115.89
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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.