Finding the Fourth Proportional to 312.68, 431.37 and 202.14
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Solution
The fourth proportional to 312.68, 431.37 and 202.14 is: 278.87
Step by Step Solution
- Step 1: Write the proportion equation
312.68 : 431.37 = 202.14 : x - Step 2: Convert to fraction form
312.68/431.37 = 202.14/x - Step 3: Cross multiply
312.68x = 431.37 × 202.14 - Step 4: Simplify right side
312.68x = 87,197.13 - Step 5: Solve for x
x = 87,197.13/312.68 - Step 6: Final answer
x = 278.87
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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.