Finding the Fourth Proportional to 420.44, 580.19 and 233.91
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Solution
The fourth proportional to 420.44, 580.19 and 233.91 is: 322.79
Step by Step Solution
- Step 1: Write the proportion equation
420.44 : 580.19 = 233.91 : x - Step 2: Convert to fraction form
420.44/580.19 = 233.91/x - Step 3: Cross multiply
420.44x = 580.19 × 233.91 - Step 4: Simplify right side
420.44x = 135,711.07 - Step 5: Solve for x
x = 135,711.07/420.44 - Step 6: Final answer
x = 322.79
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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.