Finding the Fourth Proportional to 312.62, 431.70 and 202.28
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Solution
The fourth proportional to 312.62, 431.70 and 202.28 is: 279.33
Step by Step Solution
- Step 1: Write the proportion equation
312.62 : 431.70 = 202.28 : x - Step 2: Convert to fraction form
312.62/431.70 = 202.28/x - Step 3: Cross multiply
312.62x = 431.70 × 202.28 - Step 4: Simplify right side
312.62x = 87,323.79 - Step 5: Solve for x
x = 87,323.79/312.62 - Step 6: Final answer
x = 279.33
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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.