Finding the Fourth Proportional to 509.09, 763.70 and 201.02
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Solution
The fourth proportional to 509.09, 763.70 and 201.02 is: 301.55
Step by Step Solution
- Step 1: Write the proportion equation
509.09 : 763.70 = 201.02 : x - Step 2: Convert to fraction form
509.09/763.70 = 201.02/x - Step 3: Cross multiply
509.09x = 763.70 × 201.02 - Step 4: Simplify right side
509.09x = 153,514.15 - Step 5: Solve for x
x = 153,514.15/509.09 - Step 6: Final answer
x = 301.55
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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.