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Finding the Fourth Proportional to 268.82, 401.10 and 262.59

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Solution

The fourth proportional to 268.82, 401.10 and 262.59 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 401.10 = 262.59 : x
  2. Step 2: Convert to fraction form
    268.82/401.10 = 262.59/x
  3. Step 3: Cross multiply
    268.82x = 401.10 × 262.59
  4. Step 4: Simplify right side
    268.82x = 105,326.09
  5. Step 5: Solve for x
    x = 105,326.09/268.82
  6. Step 6: Final answer
    x = 391.81

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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.