Finding the Fourth Proportional to 289.14, 432.99 and 142.62
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Solution
The fourth proportional to 289.14, 432.99 and 142.62 is: 213.57
Step by Step Solution
- Step 1: Write the proportion equation
289.14 : 432.99 = 142.62 : x - Step 2: Convert to fraction form
289.14/432.99 = 142.62/x - Step 3: Cross multiply
289.14x = 432.99 × 142.62 - Step 4: Simplify right side
289.14x = 61,753.03 - Step 5: Solve for x
x = 61,753.03/289.14 - Step 6: Final answer
x = 213.57
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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.