Finding the Fourth Proportional to 197.09, 295.81 and 164.79
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Solution
The fourth proportional to 197.09, 295.81 and 164.79 is: 247.33
Step by Step Solution
- Step 1: Write the proportion equation
197.09 : 295.81 = 164.79 : x - Step 2: Convert to fraction form
197.09/295.81 = 164.79/x - Step 3: Cross multiply
197.09x = 295.81 × 164.79 - Step 4: Simplify right side
197.09x = 48,744.23 - Step 5: Solve for x
x = 48,744.23/197.09 - Step 6: Final answer
x = 247.33
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.