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Finding the Fourth Proportional to 422.30, 582.87 and 289.46

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Solution

The fourth proportional to 422.30, 582.87 and 289.46 is: 399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 582.87 = 289.46 : x
  2. Step 2: Convert to fraction form
    422.30/582.87 = 289.46/x
  3. Step 3: Cross multiply
    422.30x = 582.87 × 289.46
  4. Step 4: Simplify right side
    422.30x = 168,717.55
  5. Step 5: Solve for x
    x = 168,717.55/422.30
  6. Step 6: Final answer
    x = 399.52

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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.