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Finding the Fourth Proportional to 278.67, 381.77 and 268.28

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Solution

The fourth proportional to 278.67, 381.77 and 268.28 is: 367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.67 : 381.77 = 268.28 : x
  2. Step 2: Convert to fraction form
    278.67/381.77 = 268.28/x
  3. Step 3: Cross multiply
    278.67x = 381.77 × 268.28
  4. Step 4: Simplify right side
    278.67x = 102,421.26
  5. Step 5: Solve for x
    x = 102,421.26/278.67
  6. Step 6: Final answer
    x = 367.54

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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.