Finding the Fourth Proportional to 206.42, 309.36 and 84.54
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Solution
The fourth proportional to 206.42, 309.36 and 84.54 is: 126.70
Step by Step Solution
- Step 1: Write the proportion equation
206.42 : 309.36 = 84.54 : x - Step 2: Convert to fraction form
206.42/309.36 = 84.54/x - Step 3: Cross multiply
206.42x = 309.36 × 84.54 - Step 4: Simplify right side
206.42x = 26,153.29 - Step 5: Solve for x
x = 26,153.29/206.42 - Step 6: Final answer
x = 126.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.