Finding the Fourth Proportional to 278.13, 417.36 and 104.91
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Solution
The fourth proportional to 278.13, 417.36 and 104.91 is: 157.43
Step by Step Solution
- Step 1: Write the proportion equation
278.13 : 417.36 = 104.91 : x - Step 2: Convert to fraction form
278.13/417.36 = 104.91/x - Step 3: Cross multiply
278.13x = 417.36 × 104.91 - Step 4: Simplify right side
278.13x = 43,785.24 - Step 5: Solve for x
x = 43,785.24/278.13 - Step 6: Final answer
x = 157.43
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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.