Finding the Fourth Proportional to 509.28, 763.74 and 201.05
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Solution
The fourth proportional to 509.28, 763.74 and 201.05 is: 301.50
Step by Step Solution
- Step 1: Write the proportion equation
509.28 : 763.74 = 201.05 : x - Step 2: Convert to fraction form
509.28/763.74 = 201.05/x - Step 3: Cross multiply
509.28x = 763.74 × 201.05 - Step 4: Simplify right side
509.28x = 153,549.93 - Step 5: Solve for x
x = 153,549.93/509.28 - Step 6: Final answer
x = 301.50
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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.