Finding the Fourth Proportional to 306.75, 460.14 and 293.76
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Solution
The fourth proportional to 306.75, 460.14 and 293.76 is: 440.65
Step by Step Solution
- Step 1: Write the proportion equation
306.75 : 460.14 = 293.76 : x - Step 2: Convert to fraction form
306.75/460.14 = 293.76/x - Step 3: Cross multiply
306.75x = 460.14 × 293.76 - Step 4: Simplify right side
306.75x = 135,170.73 - Step 5: Solve for x
x = 135,170.73/306.75 - Step 6: Final answer
x = 440.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.