Finding the Fourth Proportional to 206.11, 309.14 and 119.17
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Solution
The fourth proportional to 206.11, 309.14 and 119.17 is: 178.74
Step by Step Solution
- Step 1: Write the proportion equation
206.11 : 309.14 = 119.17 : x - Step 2: Convert to fraction form
206.11/309.14 = 119.17/x - Step 3: Cross multiply
206.11x = 309.14 × 119.17 - Step 4: Simplify right side
206.11x = 36,840.21 - Step 5: Solve for x
x = 36,840.21/206.11 - Step 6: Final answer
x = 178.74
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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.