Finding the Fourth Proportional to 206.62, 285.08 and 119.26
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Solution
The fourth proportional to 206.62, 285.08 and 119.26 is: 164.55
Step by Step Solution
- Step 1: Write the proportion equation
206.62 : 285.08 = 119.26 : x - Step 2: Convert to fraction form
206.62/285.08 = 119.26/x - Step 3: Cross multiply
206.62x = 285.08 × 119.26 - Step 4: Simplify right side
206.62x = 33,998.64 - Step 5: Solve for x
x = 33,998.64/206.62 - Step 6: Final answer
x = 164.55
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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.