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Finding the Fourth Proportional to 268.04, 399.36 and 254.08

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Solution

The fourth proportional to 268.04, 399.36 and 254.08 is: 378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.04 : 399.36 = 254.08 : x
  2. Step 2: Convert to fraction form
    268.04/399.36 = 254.08/x
  3. Step 3: Cross multiply
    268.04x = 399.36 × 254.08
  4. Step 4: Simplify right side
    268.04x = 101,469.39
  5. Step 5: Solve for x
    x = 101,469.39/268.04
  6. Step 6: Final answer
    x = 378.56

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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.