Finding the Fourth Proportional to 132.64, 198.84 and 121.84
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Solution
The fourth proportional to 132.64, 198.84 and 121.84 is: 182.65
Step by Step Solution
- Step 1: Write the proportion equation
132.64 : 198.84 = 121.84 : x - Step 2: Convert to fraction form
132.64/198.84 = 121.84/x - Step 3: Cross multiply
132.64x = 198.84 × 121.84 - Step 4: Simplify right side
132.64x = 24,226.67 - Step 5: Solve for x
x = 24,226.67/132.64 - Step 6: Final answer
x = 182.65
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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.