Finding the Fourth Proportional to 423.78, 635.99 and 163.84
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Solution
The fourth proportional to 423.78, 635.99 and 163.84 is: 245.88
Step by Step Solution
- Step 1: Write the proportion equation
423.78 : 635.99 = 163.84 : x - Step 2: Convert to fraction form
423.78/635.99 = 163.84/x - Step 3: Cross multiply
423.78x = 635.99 × 163.84 - Step 4: Simplify right side
423.78x = 104,197.88 - Step 5: Solve for x
x = 104,197.88/423.78 - Step 6: Final answer
x = 245.88
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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.