Finding the Fourth Proportional to 359.47, 496 and 212.09
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Solution
The fourth proportional to 359.47, 496 and 212.09 is: 292.64
Step by Step Solution
- Step 1: Write the proportion equation
359.47 : 496 = 212.09 : x - Step 2: Convert to fraction form
359.47/496 = 212.09/x - Step 3: Cross multiply
359.47x = 496 × 212.09 - Step 4: Simplify right side
359.47x = 105,196.64 - Step 5: Solve for x
x = 105,196.64/359.47 - Step 6: Final answer
x = 292.64
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.