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Finding the Fourth Proportional to 425.36, 636.48 and 260.24

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Solution

The fourth proportional to 425.36, 636.48 and 260.24 is: 389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.36 : 636.48 = 260.24 : x
  2. Step 2: Convert to fraction form
    425.36/636.48 = 260.24/x
  3. Step 3: Cross multiply
    425.36x = 636.48 × 260.24
  4. Step 4: Simplify right side
    425.36x = 165,637.56
  5. Step 5: Solve for x
    x = 165,637.56/425.36
  6. Step 6: Final answer
    x = 389.41

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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.