Finding the Fourth Proportional to 202.08, 302.88 and 178.08
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Solution
The fourth proportional to 202.08, 302.88 and 178.08 is: 266.91
Step by Step Solution
- Step 1: Write the proportion equation
202.08 : 302.88 = 178.08 : x - Step 2: Convert to fraction form
202.08/302.88 = 178.08/x - Step 3: Cross multiply
202.08x = 302.88 × 178.08 - Step 4: Simplify right side
202.08x = 53,936.87 - Step 5: Solve for x
x = 53,936.87/202.08 - Step 6: Final answer
x = 266.91
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.