Finding the Fourth Proportional to 178.64, 268.26 and 161.02
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Solution
The fourth proportional to 178.64, 268.26 and 161.02 is: 241.80
Step by Step Solution
- Step 1: Write the proportion equation
178.64 : 268.26 = 161.02 : x - Step 2: Convert to fraction form
178.64/268.26 = 161.02/x - Step 3: Cross multiply
178.64x = 268.26 × 161.02 - Step 4: Simplify right side
178.64x = 43,195.23 - Step 5: Solve for x
x = 43,195.23/178.64 - Step 6: Final answer
x = 241.80
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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.