Finding the Fourth Proportional to 135.23, 202.80 and 57.14
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Solution
The fourth proportional to 135.23, 202.80 and 57.14 is: 85.69
Step by Step Solution
- Step 1: Write the proportion equation
135.23 : 202.80 = 57.14 : x - Step 2: Convert to fraction form
135.23/202.80 = 57.14/x - Step 3: Cross multiply
135.23x = 202.80 × 57.14 - Step 4: Simplify right side
135.23x = 11,587.99 - Step 5: Solve for x
x = 11,587.99/135.23 - Step 6: Final answer
x = 85.69
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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.