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Finding the Fourth Proportional to 402.89, 556.35 and 255.56

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Solution

The fourth proportional to 402.89, 556.35 and 255.56 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.89 : 556.35 = 255.56 : x
  2. Step 2: Convert to fraction form
    402.89/556.35 = 255.56/x
  3. Step 3: Cross multiply
    402.89x = 556.35 × 255.56
  4. Step 4: Simplify right side
    402.89x = 142,182.20
  5. Step 5: Solve for x
    x = 142,182.20/402.89
  6. Step 6: Final answer
    x = 352.91

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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.