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Finding the Fourth Proportional to 402.03, 554.78 and 254.61

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Solution

The fourth proportional to 402.03, 554.78 and 254.61 is: 351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.03 : 554.78 = 254.61 : x
  2. Step 2: Convert to fraction form
    402.03/554.78 = 254.61/x
  3. Step 3: Cross multiply
    402.03x = 554.78 × 254.61
  4. Step 4: Simplify right side
    402.03x = 141,253.17
  5. Step 5: Solve for x
    x = 141,253.17/402.03
  6. Step 6: Final answer
    x = 351.35

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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.