Finding the Fourth Proportional to 509.24, 763.66 and 201.08
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Solution
The fourth proportional to 509.24, 763.66 and 201.08 is: 301.54
Step by Step Solution
- Step 1: Write the proportion equation
509.24 : 763.66 = 201.08 : x - Step 2: Convert to fraction form
509.24/763.66 = 201.08/x - Step 3: Cross multiply
509.24x = 763.66 × 201.08 - Step 4: Simplify right side
509.24x = 153,556.75 - Step 5: Solve for x
x = 153,556.75/509.24 - Step 6: Final answer
x = 301.54
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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.