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Finding the Fourth Proportional to 268.36, 400.19 and 266.05

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Solution

The fourth proportional to 268.36, 400.19 and 266.05 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.36 : 400.19 = 266.05 : x
  2. Step 2: Convert to fraction form
    268.36/400.19 = 266.05/x
  3. Step 3: Cross multiply
    268.36x = 400.19 × 266.05
  4. Step 4: Simplify right side
    268.36x = 106,469.53
  5. Step 5: Solve for x
    x = 106,469.53/268.36
  6. Step 6: Final answer
    x = 396.74

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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.