Finding the Fourth Proportional to 431.28, 646.99 and 200.21
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Solution
The fourth proportional to 431.28, 646.99 and 200.21 is: 300.34
Step by Step Solution
- Step 1: Write the proportion equation
431.28 : 646.99 = 200.21 : x - Step 2: Convert to fraction form
431.28/646.99 = 200.21/x - Step 3: Cross multiply
431.28x = 646.99 × 200.21 - Step 4: Simplify right side
431.28x = 129,530.13 - Step 5: Solve for x
x = 129,530.13/431.28 - Step 6: Final answer
x = 300.34
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.