Finding the Fourth Proportional to 312.28, 467.93 and 209.19
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Solution
The fourth proportional to 312.28, 467.93 and 209.19 is: 313.45
Step by Step Solution
- Step 1: Write the proportion equation
312.28 : 467.93 = 209.19 : x - Step 2: Convert to fraction form
312.28/467.93 = 209.19/x - Step 3: Cross multiply
312.28x = 467.93 × 209.19 - Step 4: Simplify right side
312.28x = 97,883.48 - Step 5: Solve for x
x = 97,883.48/312.28 - Step 6: Final answer
x = 313.45
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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.