Finding the Fourth Proportional to 312.14, 430.74 and 181.14
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Solution
The fourth proportional to 312.14, 430.74 and 181.14 is: 249.97
Step by Step Solution
- Step 1: Write the proportion equation
312.14 : 430.74 = 181.14 : x - Step 2: Convert to fraction form
312.14/430.74 = 181.14/x - Step 3: Cross multiply
312.14x = 430.74 × 181.14 - Step 4: Simplify right side
312.14x = 78,024.24 - Step 5: Solve for x
x = 78,024.24/312.14 - Step 6: Final answer
x = 249.97
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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.