Finding the Fourth Proportional to 207.78, 312.91 and 181.05
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Solution
The fourth proportional to 207.78, 312.91 and 181.05 is: 272.66
Step by Step Solution
- Step 1: Write the proportion equation
207.78 : 312.91 = 181.05 : x - Step 2: Convert to fraction form
207.78/312.91 = 181.05/x - Step 3: Cross multiply
207.78x = 312.91 × 181.05 - Step 4: Simplify right side
207.78x = 56,652.36 - Step 5: Solve for x
x = 56,652.36/207.78 - Step 6: Final answer
x = 272.66
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.