Finding the Fourth Proportional to 205.19, 282.97 and 158.68
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Solution
The fourth proportional to 205.19, 282.97 and 158.68 is: 218.83
Step by Step Solution
- Step 1: Write the proportion equation
205.19 : 282.97 = 158.68 : x - Step 2: Convert to fraction form
205.19/282.97 = 158.68/x - Step 3: Cross multiply
205.19x = 282.97 × 158.68 - Step 4: Simplify right side
205.19x = 44,901.68 - Step 5: Solve for x
x = 44,901.68/205.19 - Step 6: Final answer
x = 218.83
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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.