Finding the Fourth Proportional to 274.24, 378.46 and 157.80
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Solution
The fourth proportional to 274.24, 378.46 and 157.80 is: 217.77
Step by Step Solution
- Step 1: Write the proportion equation
274.24 : 378.46 = 157.80 : x - Step 2: Convert to fraction form
274.24/378.46 = 157.80/x - Step 3: Cross multiply
274.24x = 378.46 × 157.80 - Step 4: Simplify right side
274.24x = 59,720.99 - Step 5: Solve for x
x = 59,720.99/274.24 - Step 6: Final answer
x = 217.77
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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.