Finding the Fourth Proportional to 197.84, 272.82 and 165.08
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Solution
The fourth proportional to 197.84, 272.82 and 165.08 is: 227.64
Step by Step Solution
- Step 1: Write the proportion equation
197.84 : 272.82 = 165.08 : x - Step 2: Convert to fraction form
197.84/272.82 = 165.08/x - Step 3: Cross multiply
197.84x = 272.82 × 165.08 - Step 4: Simplify right side
197.84x = 45,037.13 - Step 5: Solve for x
x = 45,037.13/197.84 - Step 6: Final answer
x = 227.64
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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.