Finding the Fourth Proportional to 382.91, 574.26 and 177.58
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Solution
The fourth proportional to 382.91, 574.26 and 177.58 is: 266.32
Step by Step Solution
- Step 1: Write the proportion equation
382.91 : 574.26 = 177.58 : x - Step 2: Convert to fraction form
382.91/574.26 = 177.58/x - Step 3: Cross multiply
382.91x = 574.26 × 177.58 - Step 4: Simplify right side
382.91x = 101,977.09 - Step 5: Solve for x
x = 101,977.09/382.91 - Step 6: Final answer
x = 266.32
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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.