Finding the Fourth Proportional to 203.82, 305.63 and 81.99
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Solution
The fourth proportional to 203.82, 305.63 and 81.99 is: 122.94
Step by Step Solution
- Step 1: Write the proportion equation
203.82 : 305.63 = 81.99 : x - Step 2: Convert to fraction form
203.82/305.63 = 81.99/x - Step 3: Cross multiply
203.82x = 305.63 × 81.99 - Step 4: Simplify right side
203.82x = 25,057.08 - Step 5: Solve for x
x = 25,057.08/203.82 - Step 6: Final answer
x = 122.94
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.