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Finding the Fourth Proportional to 268.71, 401.84 and 265.37

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Solution

The fourth proportional to 268.71, 401.84 and 265.37 is: 396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.71 : 401.84 = 265.37 : x
  2. Step 2: Convert to fraction form
    268.71/401.84 = 265.37/x
  3. Step 3: Cross multiply
    268.71x = 401.84 × 265.37
  4. Step 4: Simplify right side
    268.71x = 106,633.94
  5. Step 5: Solve for x
    x = 106,633.94/268.71
  6. Step 6: Final answer
    x = 396.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.