Finding the Fourth Proportional to 189.08, 283.79 and 97.84
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Solution
The fourth proportional to 189.08, 283.79 and 97.84 is: 146.85
Step by Step Solution
- Step 1: Write the proportion equation
189.08 : 283.79 = 97.84 : x - Step 2: Convert to fraction form
189.08/283.79 = 97.84/x - Step 3: Cross multiply
189.08x = 283.79 × 97.84 - Step 4: Simplify right side
189.08x = 27,765.55 - Step 5: Solve for x
x = 27,765.55/189.08 - Step 6: Final answer
x = 146.85
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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.