Finding the Fourth Proportional to 278.88, 418.26 and 176.02
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Solution
The fourth proportional to 278.88, 418.26 and 176.02 is: 263.99
Step by Step Solution
- Step 1: Write the proportion equation
278.88 : 418.26 = 176.02 : x - Step 2: Convert to fraction form
278.88/418.26 = 176.02/x - Step 3: Cross multiply
278.88x = 418.26 × 176.02 - Step 4: Simplify right side
278.88x = 73,622.13 - Step 5: Solve for x
x = 73,622.13/278.88 - Step 6: Final answer
x = 263.99
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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.