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Finding the Fourth Proportional to 268.92, 400.83 and 261.60

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Solution

The fourth proportional to 268.92, 400.83 and 261.60 is: 389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.92 : 400.83 = 261.60 : x
  2. Step 2: Convert to fraction form
    268.92/400.83 = 261.60/x
  3. Step 3: Cross multiply
    268.92x = 400.83 × 261.60
  4. Step 4: Simplify right side
    268.92x = 104,857.13
  5. Step 5: Solve for x
    x = 104,857.13/268.92
  6. Step 6: Final answer
    x = 389.92

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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.