Finding the Fourth Proportional to 201.06, 301.77 and 165
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Solution
The fourth proportional to 201.06, 301.77 and 165 is: 247.65
Step by Step Solution
- Step 1: Write the proportion equation
201.06 : 301.77 = 165 : x - Step 2: Convert to fraction form
201.06/301.77 = 165/x - Step 3: Cross multiply
201.06x = 301.77 × 165 - Step 4: Simplify right side
201.06x = 49,792.05 - Step 5: Solve for x
x = 49,792.05/201.06 - Step 6: Final answer
x = 247.65
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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.