Finding the Fourth Proportional to 420.19, 580.09 and 321.64
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Solution
The fourth proportional to 420.19, 580.09 and 321.64 is: 444.03
Step by Step Solution
- Step 1: Write the proportion equation
420.19 : 580.09 = 321.64 : x - Step 2: Convert to fraction form
420.19/580.09 = 321.64/x - Step 3: Cross multiply
420.19x = 580.09 × 321.64 - Step 4: Simplify right side
420.19x = 186,576.44 - Step 5: Solve for x
x = 186,576.44/420.19 - Step 6: Final answer
x = 444.03
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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.