Finding the Fourth Proportional to 197.78, 272.88 and 119.09
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Solution
The fourth proportional to 197.78, 272.88 and 119.09 is: 164.31
Step by Step Solution
- Step 1: Write the proportion equation
197.78 : 272.88 = 119.09 : x - Step 2: Convert to fraction form
197.78/272.88 = 119.09/x - Step 3: Cross multiply
197.78x = 272.88 × 119.09 - Step 4: Simplify right side
197.78x = 32,495.91 - Step 5: Solve for x
x = 32,495.91/197.78 - Step 6: Final answer
x = 164.31
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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.