Finding the Fourth Proportional to 177.64, 245.10 and 107.68
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Solution
The fourth proportional to 177.64, 245.10 and 107.68 is: 148.57
Step by Step Solution
- Step 1: Write the proportion equation
177.64 : 245.10 = 107.68 : x - Step 2: Convert to fraction form
177.64/245.10 = 107.68/x - Step 3: Cross multiply
177.64x = 245.10 × 107.68 - Step 4: Simplify right side
177.64x = 26,392.37 - Step 5: Solve for x
x = 26,392.37/177.64 - Step 6: Final answer
x = 148.57
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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.