Finding the Fourth Proportional to 177.63, 245.11 and 107.71
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Solution
The fourth proportional to 177.63, 245.11 and 107.71 is: 148.62
Step by Step Solution
- Step 1: Write the proportion equation
177.63 : 245.11 = 107.71 : x - Step 2: Convert to fraction form
177.63/245.11 = 107.71/x - Step 3: Cross multiply
177.63x = 245.11 × 107.71 - Step 4: Simplify right side
177.63x = 26,400.42 - Step 5: Solve for x
x = 26,400.42/177.63 - Step 6: Final answer
x = 148.62
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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.