Finding the Fourth Proportional to 312.44, 431.18 and 202.14
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Solution
The fourth proportional to 312.44, 431.18 and 202.14 is: 278.96
Step by Step Solution
- Step 1: Write the proportion equation
312.44 : 431.18 = 202.14 : x - Step 2: Convert to fraction form
312.44/431.18 = 202.14/x - Step 3: Cross multiply
312.44x = 431.18 × 202.14 - Step 4: Simplify right side
312.44x = 87,158.73 - Step 5: Solve for x
x = 87,158.73/312.44 - Step 6: Final answer
x = 278.96
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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.