Finding the Fourth Proportional to 161.84, 223.26 and 102.75
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Solution
The fourth proportional to 161.84, 223.26 and 102.75 is: 141.75
Step by Step Solution
- Step 1: Write the proportion equation
161.84 : 223.26 = 102.75 : x - Step 2: Convert to fraction form
161.84/223.26 = 102.75/x - Step 3: Cross multiply
161.84x = 223.26 × 102.75 - Step 4: Simplify right side
161.84x = 22,939.97 - Step 5: Solve for x
x = 22,939.97/161.84 - Step 6: Final answer
x = 141.75
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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.