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Finding the Fourth Proportional to 268.00, 400.37 and 213.95

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Solution

The fourth proportional to 268.00, 400.37 and 213.95 is: 319.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.00 : 400.37 = 213.95 : x
  2. Step 2: Convert to fraction form
    268.00/400.37 = 213.95/x
  3. Step 3: Cross multiply
    268.00x = 400.37 × 213.95
  4. Step 4: Simplify right side
    268.00x = 85,659.09
  5. Step 5: Solve for x
    x = 85,659.09/268.00
  6. Step 6: Final answer
    x = 319.63

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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.