Finding the Fourth Proportional to 278.08, 383.58 and 207.13
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Solution
The fourth proportional to 278.08, 383.58 and 207.13 is: 285.70
Step by Step Solution
- Step 1: Write the proportion equation
278.08 : 383.58 = 207.13 : x - Step 2: Convert to fraction form
278.08/383.58 = 207.13/x - Step 3: Cross multiply
278.08x = 383.58 × 207.13 - Step 4: Simplify right side
278.08x = 79,447.97 - Step 5: Solve for x
x = 79,447.97/278.08 - Step 6: Final answer
x = 285.70
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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.