Finding the Fourth Proportional to 206.13, 309.07 and 69.14
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Solution
The fourth proportional to 206.13, 309.07 and 69.14 is: 103.66
Step by Step Solution
- Step 1: Write the proportion equation
206.13 : 309.07 = 69.14 : x - Step 2: Convert to fraction form
206.13/309.07 = 69.14/x - Step 3: Cross multiply
206.13x = 309.07 × 69.14 - Step 4: Simplify right side
206.13x = 21,367.21 - Step 5: Solve for x
x = 21,367.21/206.13 - Step 6: Final answer
x = 103.66
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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.