Finding the Fourth Proportional to 205.02, 283.18 and 170.19
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Solution
The fourth proportional to 205.02, 283.18 and 170.19 is: 235.07
Step by Step Solution
- Step 1: Write the proportion equation
205.02 : 283.18 = 170.19 : x - Step 2: Convert to fraction form
205.02/283.18 = 170.19/x - Step 3: Cross multiply
205.02x = 283.18 × 170.19 - Step 4: Simplify right side
205.02x = 48,194.40 - Step 5: Solve for x
x = 48,194.40/205.02 - Step 6: Final answer
x = 235.07
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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.