Finding the Fourth Proportional to 442.86, 663.87 and 199.08
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Solution
The fourth proportional to 442.86, 663.87 and 199.08 is: 298.43
Step by Step Solution
- Step 1: Write the proportion equation
442.86 : 663.87 = 199.08 : x - Step 2: Convert to fraction form
442.86/663.87 = 199.08/x - Step 3: Cross multiply
442.86x = 663.87 × 199.08 - Step 4: Simplify right side
442.86x = 132,163.24 - Step 5: Solve for x
x = 132,163.24/442.86 - Step 6: Final answer
x = 298.43
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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.