Finding the Fourth Proportional to 197.80, 272.43 and 164.99
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Solution
The fourth proportional to 197.80, 272.43 and 164.99 is: 227.24
Step by Step Solution
- Step 1: Write the proportion equation
197.80 : 272.43 = 164.99 : x - Step 2: Convert to fraction form
197.80/272.43 = 164.99/x - Step 3: Cross multiply
197.80x = 272.43 × 164.99 - Step 4: Simplify right side
197.80x = 44,948.23 - Step 5: Solve for x
x = 44,948.23/197.80 - Step 6: Final answer
x = 227.24
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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.