Finding the Fourth Proportional to 274.63, 378.93 and 164.12
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Solution
The fourth proportional to 274.63, 378.93 and 164.12 is: 226.45
Step by Step Solution
- Step 1: Write the proportion equation
274.63 : 378.93 = 164.12 : x - Step 2: Convert to fraction form
274.63/378.93 = 164.12/x - Step 3: Cross multiply
274.63x = 378.93 × 164.12 - Step 4: Simplify right side
274.63x = 62,189.99 - Step 5: Solve for x
x = 62,189.99/274.63 - Step 6: Final answer
x = 226.45
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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.