Finding the Fourth Proportional to 204.93, 283.10 and 163.42
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Solution
The fourth proportional to 204.93, 283.10 and 163.42 is: 225.75
Step by Step Solution
- Step 1: Write the proportion equation
204.93 : 283.10 = 163.42 : x - Step 2: Convert to fraction form
204.93/283.10 = 163.42/x - Step 3: Cross multiply
204.93x = 283.10 × 163.42 - Step 4: Simplify right side
204.93x = 46,262.68 - Step 5: Solve for x
x = 46,262.68/204.93 - Step 6: Final answer
x = 225.75
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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.