Finding the Fourth Proportional to 208.67, 288 and 161.99
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Solution
The fourth proportional to 208.67, 288 and 161.99 is: 223.57
Step by Step Solution
- Step 1: Write the proportion equation
208.67 : 288 = 161.99 : x - Step 2: Convert to fraction form
208.67/288 = 161.99/x - Step 3: Cross multiply
208.67x = 288 × 161.99 - Step 4: Simplify right side
208.67x = 46,651.68 - Step 5: Solve for x
x = 46,651.68/208.67 - Step 6: Final answer
x = 223.57
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.