Finding the Fourth Proportional to 270.44, 405.70 and 97.08
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Solution
The fourth proportional to 270.44, 405.70 and 97.08 is: 145.63
Step by Step Solution
- Step 1: Write the proportion equation
270.44 : 405.70 = 97.08 : x - Step 2: Convert to fraction form
270.44/405.70 = 97.08/x - Step 3: Cross multiply
270.44x = 405.70 × 97.08 - Step 4: Simplify right side
270.44x = 39,385.36 - Step 5: Solve for x
x = 39,385.36/270.44 - Step 6: Final answer
x = 145.63
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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.