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Finding the Fourth Proportional to 425.38, 636.81 and 323.14

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Solution

The fourth proportional to 425.38, 636.81 and 323.14 is: 483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.38 : 636.81 = 323.14 : x
  2. Step 2: Convert to fraction form
    425.38/636.81 = 323.14/x
  3. Step 3: Cross multiply
    425.38x = 636.81 × 323.14
  4. Step 4: Simplify right side
    425.38x = 205,778.78
  5. Step 5: Solve for x
    x = 205,778.78/425.38
  6. Step 6: Final answer
    x = 483.75

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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.