Finding the Fourth Proportional to 209.76, 289 and 177.08
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Solution
The fourth proportional to 209.76, 289 and 177.08 is: 243.97
Step by Step Solution
- Step 1: Write the proportion equation
209.76 : 289 = 177.08 : x - Step 2: Convert to fraction form
209.76/289 = 177.08/x - Step 3: Cross multiply
209.76x = 289 × 177.08 - Step 4: Simplify right side
209.76x = 51,176.12 - Step 5: Solve for x
x = 51,176.12/209.76 - Step 6: Final answer
x = 243.97
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.