Finding the Fourth Proportional to 362.30, 500 and 214.92
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Solution
The fourth proportional to 362.30, 500 and 214.92 is: 296.61
Step by Step Solution
- Step 1: Write the proportion equation
362.30 : 500 = 214.92 : x - Step 2: Convert to fraction form
362.30/500 = 214.92/x - Step 3: Cross multiply
362.30x = 500 × 214.92 - Step 4: Simplify right side
362.30x = 107,460 - Step 5: Solve for x
x = 107,460/362.30 - Step 6: Final answer
x = 296.61
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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.