Finding the Fourth Proportional to 282.42, 389.70 and 165.96
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Solution
The fourth proportional to 282.42, 389.70 and 165.96 is: 229.00
Step by Step Solution
- Step 1: Write the proportion equation
282.42 : 389.70 = 165.96 : x - Step 2: Convert to fraction form
282.42/389.70 = 165.96/x - Step 3: Cross multiply
282.42x = 389.70 × 165.96 - Step 4: Simplify right side
282.42x = 64,674.61 - Step 5: Solve for x
x = 64,674.61/282.42 - Step 6: Final answer
x = 229.00
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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.