Finding the Fourth Proportional to 204.23, 281.84 and 119.08
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Solution
The fourth proportional to 204.23, 281.84 and 119.08 is: 164.33
Step by Step Solution
- Step 1: Write the proportion equation
204.23 : 281.84 = 119.08 : x - Step 2: Convert to fraction form
204.23/281.84 = 119.08/x - Step 3: Cross multiply
204.23x = 281.84 × 119.08 - Step 4: Simplify right side
204.23x = 33,561.51 - Step 5: Solve for x
x = 33,561.51/204.23 - Step 6: Final answer
x = 164.33
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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.