Finding the Fourth Proportional to 274.88, 409.10 and 274.08
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Solution
The fourth proportional to 274.88, 409.10 and 274.08 is: 407.91
Step by Step Solution
- Step 1: Write the proportion equation
274.88 : 409.10 = 274.08 : x - Step 2: Convert to fraction form
274.88/409.10 = 274.08/x - Step 3: Cross multiply
274.88x = 409.10 × 274.08 - Step 4: Simplify right side
274.88x = 112,126.13 - Step 5: Solve for x
x = 112,126.13/274.88 - Step 6: Final answer
x = 407.91
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.