Finding the Fourth Proportional to 420.26, 580.00 and 233.79
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Solution
The fourth proportional to 420.26, 580.00 and 233.79 is: 322.65
Step by Step Solution
- Step 1: Write the proportion equation
420.26 : 580.00 = 233.79 : x - Step 2: Convert to fraction form
420.26/580.00 = 233.79/x - Step 3: Cross multiply
420.26x = 580.00 × 233.79 - Step 4: Simplify right side
420.26x = 135,596.17 - Step 5: Solve for x
x = 135,596.17/420.26 - Step 6: Final answer
x = 322.65
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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.