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Finding the Fourth Proportional to 425.20, 636.33 and 260.56

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Solution

The fourth proportional to 425.20, 636.33 and 260.56 is: 389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.20 : 636.33 = 260.56 : x
  2. Step 2: Convert to fraction form
    425.20/636.33 = 260.56/x
  3. Step 3: Cross multiply
    425.20x = 636.33 × 260.56
  4. Step 4: Simplify right side
    425.20x = 165,803.92
  5. Step 5: Solve for x
    x = 165,803.92/425.20
  6. Step 6: Final answer
    x = 389.94

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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.