Finding the Fourth Proportional to 199.78, 299.70 and 135.70
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Solution
The fourth proportional to 199.78, 299.70 and 135.70 is: 203.57
Step by Step Solution
- Step 1: Write the proportion equation
199.78 : 299.70 = 135.70 : x - Step 2: Convert to fraction form
199.78/299.70 = 135.70/x - Step 3: Cross multiply
199.78x = 299.70 × 135.70 - Step 4: Simplify right side
199.78x = 40,669.29 - Step 5: Solve for x
x = 40,669.29/199.78 - Step 6: Final answer
x = 203.57
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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.