Finding the Fourth Proportional to 178.96, 270.08 and 176.80
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Solution
The fourth proportional to 178.96, 270.08 and 176.80 is: 266.82
Step by Step Solution
- Step 1: Write the proportion equation
178.96 : 270.08 = 176.80 : x - Step 2: Convert to fraction form
178.96/270.08 = 176.80/x - Step 3: Cross multiply
178.96x = 270.08 × 176.80 - Step 4: Simplify right side
178.96x = 47,750.14 - Step 5: Solve for x
x = 47,750.14/178.96 - Step 6: Final answer
x = 266.82
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.