Finding the Fourth Proportional to 202.08, 302.92 and 64.99
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Solution
The fourth proportional to 202.08, 302.92 and 64.99 is: 97.42
Step by Step Solution
- Step 1: Write the proportion equation
202.08 : 302.92 = 64.99 : x - Step 2: Convert to fraction form
202.08/302.92 = 64.99/x - Step 3: Cross multiply
202.08x = 302.92 × 64.99 - Step 4: Simplify right side
202.08x = 19,686.77 - Step 5: Solve for x
x = 19,686.77/202.08 - Step 6: Final answer
x = 97.42
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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.