Finding the Fourth Proportional to 274.01, 378.14 and 149.68
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Solution
The fourth proportional to 274.01, 378.14 and 149.68 is: 206.56
Step by Step Solution
- Step 1: Write the proportion equation
274.01 : 378.14 = 149.68 : x - Step 2: Convert to fraction form
274.01/378.14 = 149.68/x - Step 3: Cross multiply
274.01x = 378.14 × 149.68 - Step 4: Simplify right side
274.01x = 56,599.62 - Step 5: Solve for x
x = 56,599.62/274.01 - Step 6: Final answer
x = 206.56
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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.