Finding the Fourth Proportional to 285.42, 393.91 and 161.09
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Solution
The fourth proportional to 285.42, 393.91 and 161.09 is: 222.32
Step by Step Solution
- Step 1: Write the proportion equation
285.42 : 393.91 = 161.09 : x - Step 2: Convert to fraction form
285.42/393.91 = 161.09/x - Step 3: Cross multiply
285.42x = 393.91 × 161.09 - Step 4: Simplify right side
285.42x = 63,454.97 - Step 5: Solve for x
x = 63,454.97/285.42 - Step 6: Final answer
x = 222.32
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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.