Finding the Fourth Proportional to 232.64, 321.14 and 149.75
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Solution
The fourth proportional to 232.64, 321.14 and 149.75 is: 206.71
Step by Step Solution
- Step 1: Write the proportion equation
232.64 : 321.14 = 149.75 : x - Step 2: Convert to fraction form
232.64/321.14 = 149.75/x - Step 3: Cross multiply
232.64x = 321.14 × 149.75 - Step 4: Simplify right side
232.64x = 48,089.97 - Step 5: Solve for x
x = 48,089.97/232.64 - Step 6: Final answer
x = 206.71
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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.