Finding the Fourth Proportional to 206.64, 309.58 and 170.19
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Solution
The fourth proportional to 206.64, 309.58 and 170.19 is: 254.97
Step by Step Solution
- Step 1: Write the proportion equation
206.64 : 309.58 = 170.19 : x - Step 2: Convert to fraction form
206.64/309.58 = 170.19/x - Step 3: Cross multiply
206.64x = 309.58 × 170.19 - Step 4: Simplify right side
206.64x = 52,686.99 - Step 5: Solve for x
x = 52,686.99/206.64 - Step 6: Final answer
x = 254.97
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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.