Finding the Fourth Proportional to 193.24, 289.77 and 164.26
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Solution
The fourth proportional to 193.24, 289.77 and 164.26 is: 246.31
Step by Step Solution
- Step 1: Write the proportion equation
193.24 : 289.77 = 164.26 : x - Step 2: Convert to fraction form
193.24/289.77 = 164.26/x - Step 3: Cross multiply
193.24x = 289.77 × 164.26 - Step 4: Simplify right side
193.24x = 47,597.62 - Step 5: Solve for x
x = 47,597.62/193.24 - Step 6: Final answer
x = 246.31
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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.