Finding the Fourth Proportional to 206.17, 309.08 and 84.35
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Solution
The fourth proportional to 206.17, 309.08 and 84.35 is: 126.46
Step by Step Solution
- Step 1: Write the proportion equation
206.17 : 309.08 = 84.35 : x - Step 2: Convert to fraction form
206.17/309.08 = 84.35/x - Step 3: Cross multiply
206.17x = 309.08 × 84.35 - Step 4: Simplify right side
206.17x = 26,071.25 - Step 5: Solve for x
x = 26,071.25/206.17 - Step 6: Final answer
x = 126.46
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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.