Finding the Fourth Proportional to 206.18, 284.26 and 171.08
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Solution
The fourth proportional to 206.18, 284.26 and 171.08 is: 235.87
Step by Step Solution
- Step 1: Write the proportion equation
206.18 : 284.26 = 171.08 : x - Step 2: Convert to fraction form
206.18/284.26 = 171.08/x - Step 3: Cross multiply
206.18x = 284.26 × 171.08 - Step 4: Simplify right side
206.18x = 48,631.20 - Step 5: Solve for x
x = 48,631.20/206.18 - Step 6: Final answer
x = 235.87
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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.