Finding the Fourth Proportional to 196.08, 294.09 and 74.31
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Solution
The fourth proportional to 196.08, 294.09 and 74.31 is: 111.45
Step by Step Solution
- Step 1: Write the proportion equation
196.08 : 294.09 = 74.31 : x - Step 2: Convert to fraction form
196.08/294.09 = 74.31/x - Step 3: Cross multiply
196.08x = 294.09 × 74.31 - Step 4: Simplify right side
196.08x = 21,853.83 - Step 5: Solve for x
x = 21,853.83/196.08 - Step 6: Final answer
x = 111.45
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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.