Finding the Fourth Proportional to 542.26, 812.70 and 233.75
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Solution
The fourth proportional to 542.26, 812.70 and 233.75 is: 350.33
Step by Step Solution
- Step 1: Write the proportion equation
542.26 : 812.70 = 233.75 : x - Step 2: Convert to fraction form
542.26/812.70 = 233.75/x - Step 3: Cross multiply
542.26x = 812.70 × 233.75 - Step 4: Simplify right side
542.26x = 189,968.63 - Step 5: Solve for x
x = 189,968.63/542.26 - Step 6: Final answer
x = 350.33
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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.