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Finding the Fourth Proportional to 268.60, 400.20 and 256.80

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Solution

The fourth proportional to 268.60, 400.20 and 256.80 is: 382.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.60 : 400.20 = 256.80 : x
  2. Step 2: Convert to fraction form
    268.60/400.20 = 256.80/x
  3. Step 3: Cross multiply
    268.60x = 400.20 × 256.80
  4. Step 4: Simplify right side
    268.60x = 102,771.36
  5. Step 5: Solve for x
    x = 102,771.36/268.60
  6. Step 6: Final answer
    x = 382.63

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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.