Finding the Fourth Proportional to 270.65, 405.84 and 87.99
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Solution
The fourth proportional to 270.65, 405.84 and 87.99 is: 131.94
Step by Step Solution
- Step 1: Write the proportion equation
270.65 : 405.84 = 87.99 : x - Step 2: Convert to fraction form
270.65/405.84 = 87.99/x - Step 3: Cross multiply
270.65x = 405.84 × 87.99 - Step 4: Simplify right side
270.65x = 35,709.86 - Step 5: Solve for x
x = 35,709.86/270.65 - Step 6: Final answer
x = 131.94
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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.