Finding the Fourth Proportional to 274.66, 378.99 and 164.23
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Solution
The fourth proportional to 274.66, 378.99 and 164.23 is: 226.61
Step by Step Solution
- Step 1: Write the proportion equation
274.66 : 378.99 = 164.23 : x - Step 2: Convert to fraction form
274.66/378.99 = 164.23/x - Step 3: Cross multiply
274.66x = 378.99 × 164.23 - Step 4: Simplify right side
274.66x = 62,241.53 - Step 5: Solve for x
x = 62,241.53/274.66 - Step 6: Final answer
x = 226.61
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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.