Finding the Fourth Proportional to 286.16, 394.91 and 161.84
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Solution
The fourth proportional to 286.16, 394.91 and 161.84 is: 223.34
Step by Step Solution
- Step 1: Write the proportion equation
286.16 : 394.91 = 161.84 : x - Step 2: Convert to fraction form
286.16/394.91 = 161.84/x - Step 3: Cross multiply
286.16x = 394.91 × 161.84 - Step 4: Simplify right side
286.16x = 63,912.23 - Step 5: Solve for x
x = 63,912.23/286.16 - Step 6: Final answer
x = 223.34
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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.