Finding the Fourth Proportional to 202.13, 278.76 and 149.75
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Solution
The fourth proportional to 202.13, 278.76 and 149.75 is: 206.52
Step by Step Solution
- Step 1: Write the proportion equation
202.13 : 278.76 = 149.75 : x - Step 2: Convert to fraction form
202.13/278.76 = 149.75/x - Step 3: Cross multiply
202.13x = 278.76 × 149.75 - Step 4: Simplify right side
202.13x = 41,742.17 - Step 5: Solve for x
x = 41,742.17/202.13 - Step 6: Final answer
x = 206.52
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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.