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Finding the Fourth Proportional to 402.25, 554.97 and 254.87

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Solution

The fourth proportional to 402.25, 554.97 and 254.87 is: 351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.25 : 554.97 = 254.87 : x
  2. Step 2: Convert to fraction form
    402.25/554.97 = 254.87/x
  3. Step 3: Cross multiply
    402.25x = 554.97 × 254.87
  4. Step 4: Simplify right side
    402.25x = 141,443.07
  5. Step 5: Solve for x
    x = 141,443.07/402.25
  6. Step 6: Final answer
    x = 351.63

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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.