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Finding the Fourth Proportional to 268.44, 399.24 and 265.56

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Solution

The fourth proportional to 268.44, 399.24 and 265.56 is: 394.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.44 : 399.24 = 265.56 : x
  2. Step 2: Convert to fraction form
    268.44/399.24 = 265.56/x
  3. Step 3: Cross multiply
    268.44x = 399.24 × 265.56
  4. Step 4: Simplify right side
    268.44x = 106,022.17
  5. Step 5: Solve for x
    x = 106,022.17/268.44
  6. Step 6: Final answer
    x = 394.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.