Finding the Fourth Proportional to 209.28, 288.96 and 135.68
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Solution
The fourth proportional to 209.28, 288.96 and 135.68 is: 187.34
Step by Step Solution
- Step 1: Write the proportion equation
209.28 : 288.96 = 135.68 : x - Step 2: Convert to fraction form
209.28/288.96 = 135.68/x - Step 3: Cross multiply
209.28x = 288.96 × 135.68 - Step 4: Simplify right side
209.28x = 39,206.09 - Step 5: Solve for x
x = 39,206.09/209.28 - Step 6: Final answer
x = 187.34
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.