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Finding the Fourth Proportional to 442.20, 610.18 and 255.70

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Solution

The fourth proportional to 442.20, 610.18 and 255.70 is: 352.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.20 : 610.18 = 255.70 : x
  2. Step 2: Convert to fraction form
    442.20/610.18 = 255.70/x
  3. Step 3: Cross multiply
    442.20x = 610.18 × 255.70
  4. Step 4: Simplify right side
    442.20x = 156,023.03
  5. Step 5: Solve for x
    x = 156,023.03/442.20
  6. Step 6: Final answer
    x = 352.83

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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.