Finding the Fourth Proportional to 214.68, 294.99 and 205.14
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Solution
The fourth proportional to 214.68, 294.99 and 205.14 is: 281.88
Step by Step Solution
- Step 1: Write the proportion equation
214.68 : 294.99 = 205.14 : x - Step 2: Convert to fraction form
214.68/294.99 = 205.14/x - Step 3: Cross multiply
214.68x = 294.99 × 205.14 - Step 4: Simplify right side
214.68x = 60,514.25 - Step 5: Solve for x
x = 60,514.25/214.68 - Step 6: Final answer
x = 281.88
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.