Finding the Fourth Proportional to 190.68, 285.84 and 105
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Solution
The fourth proportional to 190.68, 285.84 and 105 is: 157.40
Step by Step Solution
- Step 1: Write the proportion equation
190.68 : 285.84 = 105 : x - Step 2: Convert to fraction form
190.68/285.84 = 105/x - Step 3: Cross multiply
190.68x = 285.84 × 105 - Step 4: Simplify right side
190.68x = 30,013.20 - Step 5: Solve for x
x = 30,013.20/190.68 - Step 6: Final answer
x = 157.40
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.