Finding the Fourth Proportional to 189.76, 284.36 and 135.68
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Solution
The fourth proportional to 189.76, 284.36 and 135.68 is: 203.32
Step by Step Solution
- Step 1: Write the proportion equation
189.76 : 284.36 = 135.68 : x - Step 2: Convert to fraction form
189.76/284.36 = 135.68/x - Step 3: Cross multiply
189.76x = 284.36 × 135.68 - Step 4: Simplify right side
189.76x = 38,581.96 - Step 5: Solve for x
x = 38,581.96/189.76 - Step 6: Final answer
x = 203.32
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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.