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Finding the Fourth Proportional to 402.78, 604.89 and 351.78

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Solution

The fourth proportional to 402.78, 604.89 and 351.78 is: 528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.78 : 604.89 = 351.78 : x
  2. Step 2: Convert to fraction form
    402.78/604.89 = 351.78/x
  3. Step 3: Cross multiply
    402.78x = 604.89 × 351.78
  4. Step 4: Simplify right side
    402.78x = 212,788.20
  5. Step 5: Solve for x
    x = 212,788.20/402.78
  6. Step 6: Final answer
    x = 528.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.