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Finding the Fourth Proportional to 402.81, 556.04 and 255.42

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Solution

The fourth proportional to 402.81, 556.04 and 255.42 is: 352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.81 : 556.04 = 255.42 : x
  2. Step 2: Convert to fraction form
    402.81/556.04 = 255.42/x
  3. Step 3: Cross multiply
    402.81x = 556.04 × 255.42
  4. Step 4: Simplify right side
    402.81x = 142,023.74
  5. Step 5: Solve for x
    x = 142,023.74/402.81
  6. Step 6: Final answer
    x = 352.58

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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.