Finding the Fourth Proportional to 209.55, 289.24 and 135.84
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Solution
The fourth proportional to 209.55, 289.24 and 135.84 is: 187.50
Step by Step Solution
- Step 1: Write the proportion equation
209.55 : 289.24 = 135.84 : x - Step 2: Convert to fraction form
209.55/289.24 = 135.84/x - Step 3: Cross multiply
209.55x = 289.24 × 135.84 - Step 4: Simplify right side
209.55x = 39,291.11 - Step 5: Solve for x
x = 39,291.11/209.55 - Step 6: Final answer
x = 187.50
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.