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Finding the Fourth Proportional to 268.17, 400.47 and 254.50

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Solution

The fourth proportional to 268.17, 400.47 and 254.50 is: 380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.17 : 400.47 = 254.50 : x
  2. Step 2: Convert to fraction form
    268.17/400.47 = 254.50/x
  3. Step 3: Cross multiply
    268.17x = 400.47 × 254.50
  4. Step 4: Simplify right side
    268.17x = 101,919.62
  5. Step 5: Solve for x
    x = 101,919.62/268.17
  6. Step 6: Final answer
    x = 380.06

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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.