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Finding the Fourth Proportional to 278.64, 381.73 and 268.25

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Solution

The fourth proportional to 278.64, 381.73 and 268.25 is: 367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.64 : 381.73 = 268.25 : x
  2. Step 2: Convert to fraction form
    278.64/381.73 = 268.25/x
  3. Step 3: Cross multiply
    278.64x = 381.73 × 268.25
  4. Step 4: Simplify right side
    278.64x = 102,399.07
  5. Step 5: Solve for x
    x = 102,399.07/278.64
  6. Step 6: Final answer
    x = 367.50

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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.