Finding the Fourth Proportional to 274.34, 378.08 and 195.65
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Solution
The fourth proportional to 274.34, 378.08 and 195.65 is: 269.63
Step by Step Solution
- Step 1: Write the proportion equation
274.34 : 378.08 = 195.65 : x - Step 2: Convert to fraction form
274.34/378.08 = 195.65/x - Step 3: Cross multiply
274.34x = 378.08 × 195.65 - Step 4: Simplify right side
274.34x = 73,972.05 - Step 5: Solve for x
x = 73,972.05/274.34 - Step 6: Final answer
x = 269.63
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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.