Finding the Fourth Proportional to 274.08, 378.21 and 149.74
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Solution
The fourth proportional to 274.08, 378.21 and 149.74 is: 206.63
Step by Step Solution
- Step 1: Write the proportion equation
274.08 : 378.21 = 149.74 : x - Step 2: Convert to fraction form
274.08/378.21 = 149.74/x - Step 3: Cross multiply
274.08x = 378.21 × 149.74 - Step 4: Simplify right side
274.08x = 56,633.17 - Step 5: Solve for x
x = 56,633.17/274.08 - Step 6: Final answer
x = 206.63
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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.