Finding the Fourth Proportional to 305.81, 422.09 and 181.58
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Solution
The fourth proportional to 305.81, 422.09 and 181.58 is: 250.62
Step by Step Solution
- Step 1: Write the proportion equation
305.81 : 422.09 = 181.58 : x - Step 2: Convert to fraction form
305.81/422.09 = 181.58/x - Step 3: Cross multiply
305.81x = 422.09 × 181.58 - Step 4: Simplify right side
305.81x = 76,640.08 - Step 5: Solve for x
x = 76,640.08/305.81 - Step 6: Final answer
x = 250.62
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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.