Finding the Fourth Proportional to 177.62, 245.14 and 107.68
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Solution
The fourth proportional to 177.62, 245.14 and 107.68 is: 148.61
Step by Step Solution
- Step 1: Write the proportion equation
177.62 : 245.14 = 107.68 : x - Step 2: Convert to fraction form
177.62/245.14 = 107.68/x - Step 3: Cross multiply
177.62x = 245.14 × 107.68 - Step 4: Simplify right side
177.62x = 26,396.14 - Step 5: Solve for x
x = 26,396.14/177.62 - Step 6: Final answer
x = 148.61
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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.