Finding the Fourth Proportional to 278.70, 417.14 and 233.14
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Solution
The fourth proportional to 278.70, 417.14 and 233.14 is: 348.95
Step by Step Solution
- Step 1: Write the proportion equation
278.70 : 417.14 = 233.14 : x - Step 2: Convert to fraction form
278.70/417.14 = 233.14/x - Step 3: Cross multiply
278.70x = 417.14 × 233.14 - Step 4: Simplify right side
278.70x = 97,252.02 - Step 5: Solve for x
x = 97,252.02/278.70 - Step 6: Final answer
x = 348.95
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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.