Finding the Fourth Proportional to 138.23, 207.35 and 57.02
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Solution
The fourth proportional to 138.23, 207.35 and 57.02 is: 85.53
Step by Step Solution
- Step 1: Write the proportion equation
138.23 : 207.35 = 57.02 : x - Step 2: Convert to fraction form
138.23/207.35 = 57.02/x - Step 3: Cross multiply
138.23x = 207.35 × 57.02 - Step 4: Simplify right side
138.23x = 11,822.55 - Step 5: Solve for x
x = 11,822.55/138.23 - Step 6: Final answer
x = 85.53
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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.