Finding the Fourth Proportional to 205.76, 283.93 and 117.26
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Solution
The fourth proportional to 205.76, 283.93 and 117.26 is: 161.80
Step by Step Solution
- Step 1: Write the proportion equation
205.76 : 283.93 = 117.26 : x - Step 2: Convert to fraction form
205.76/283.93 = 117.26/x - Step 3: Cross multiply
205.76x = 283.93 × 117.26 - Step 4: Simplify right side
205.76x = 33,292.98 - Step 5: Solve for x
x = 33,292.98/205.76 - Step 6: Final answer
x = 161.80
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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.