Finding the Fourth Proportional to 274.74, 412.11 and 274.06
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Solution
The fourth proportional to 274.74, 412.11 and 274.06 is: 411.09
Step by Step Solution
- Step 1: Write the proportion equation
274.74 : 412.11 = 274.06 : x - Step 2: Convert to fraction form
274.74/412.11 = 274.06/x - Step 3: Cross multiply
274.74x = 412.11 × 274.06 - Step 4: Simplify right side
274.74x = 112,942.99 - Step 5: Solve for x
x = 112,942.99/274.74 - Step 6: Final answer
x = 411.09
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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.