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Finding the Fourth Proportional to 422, 582.60 and 318.32

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Solution

The fourth proportional to 422, 582.60 and 318.32 is: 439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    422 : 582.60 = 318.32 : x
  2. Step 2: Convert to fraction form
    422/582.60 = 318.32/x
  3. Step 3: Cross multiply
    422x = 582.60 × 318.32
  4. Step 4: Simplify right side
    422x = 185,453.23
  5. Step 5: Solve for x
    x = 185,453.23/422
  6. Step 6: Final answer
    x = 439.46

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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.