Finding the Fourth Proportional to 359.76, 496.46 and 204.50
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Solution
The fourth proportional to 359.76, 496.46 and 204.50 is: 282.20
Step by Step Solution
- Step 1: Write the proportion equation
359.76 : 496.46 = 204.50 : x - Step 2: Convert to fraction form
359.76/496.46 = 204.50/x - Step 3: Cross multiply
359.76x = 496.46 × 204.50 - Step 4: Simplify right side
359.76x = 101,526.07 - Step 5: Solve for x
x = 101,526.07/359.76 - Step 6: Final answer
x = 282.20
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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.