Finding the Fourth Proportional to 177.80, 245.42 and 122.68
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Solution
The fourth proportional to 177.80, 245.42 and 122.68 is: 169.33
Step by Step Solution
- Step 1: Write the proportion equation
177.80 : 245.42 = 122.68 : x - Step 2: Convert to fraction form
177.80/245.42 = 122.68/x - Step 3: Cross multiply
177.80x = 245.42 × 122.68 - Step 4: Simplify right side
177.80x = 30,107.82 - Step 5: Solve for x
x = 30,107.82/177.80 - Step 6: Final answer
x = 169.33
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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.