Finding the Fourth Proportional to 294.14, 440.74 and 157.14
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Solution
The fourth proportional to 294.14, 440.74 and 157.14 is: 235.46
Step by Step Solution
- Step 1: Write the proportion equation
294.14 : 440.74 = 157.14 : x - Step 2: Convert to fraction form
294.14/440.74 = 157.14/x - Step 3: Cross multiply
294.14x = 440.74 × 157.14 - Step 4: Simplify right side
294.14x = 69,257.88 - Step 5: Solve for x
x = 69,257.88/294.14 - Step 6: Final answer
x = 235.46
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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.