Finding the Fourth Proportional to 189.74, 261.84 and 109.99
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Solution
The fourth proportional to 189.74, 261.84 and 109.99 is: 151.79
Step by Step Solution
- Step 1: Write the proportion equation
189.74 : 261.84 = 109.99 : x - Step 2: Convert to fraction form
189.74/261.84 = 109.99/x - Step 3: Cross multiply
189.74x = 261.84 × 109.99 - Step 4: Simplify right side
189.74x = 28,800.52 - Step 5: Solve for x
x = 28,800.52/189.74 - Step 6: Final answer
x = 151.79
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.