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Finding the Fourth Proportional to 278.38, 382.25 and 236.44

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Solution

The fourth proportional to 278.38, 382.25 and 236.44 is: 324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.38 : 382.25 = 236.44 : x
  2. Step 2: Convert to fraction form
    278.38/382.25 = 236.44/x
  3. Step 3: Cross multiply
    278.38x = 382.25 × 236.44
  4. Step 4: Simplify right side
    278.38x = 90,379.19
  5. Step 5: Solve for x
    x = 90,379.19/278.38
  6. Step 6: Final answer
    x = 324.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.