Finding the Fourth Proportional to 194.24, 268.08 and 178.08
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Solution
The fourth proportional to 194.24, 268.08 and 178.08 is: 245.78
Step by Step Solution
- Step 1: Write the proportion equation
194.24 : 268.08 = 178.08 : x - Step 2: Convert to fraction form
194.24/268.08 = 178.08/x - Step 3: Cross multiply
194.24x = 268.08 × 178.08 - Step 4: Simplify right side
194.24x = 47,739.69 - Step 5: Solve for x
x = 47,739.69/194.24 - Step 6: Final answer
x = 245.78
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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.