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Finding the Fourth Proportional to 401.88, 554.46 and 254.49

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Solution

The fourth proportional to 401.88, 554.46 and 254.49 is: 351.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.88 : 554.46 = 254.49 : x
  2. Step 2: Convert to fraction form
    401.88/554.46 = 254.49/x
  3. Step 3: Cross multiply
    401.88x = 554.46 × 254.49
  4. Step 4: Simplify right side
    401.88x = 141,103.57
  5. Step 5: Solve for x
    x = 141,103.57/401.88
  6. Step 6: Final answer
    x = 351.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.