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Finding the Fourth Proportional to 422.40, 582.96 and 289.62

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Solution

The fourth proportional to 422.40, 582.96 and 289.62 is: 399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.40 : 582.96 = 289.62 : x
  2. Step 2: Convert to fraction form
    422.40/582.96 = 289.62/x
  3. Step 3: Cross multiply
    422.40x = 582.96 × 289.62
  4. Step 4: Simplify right side
    422.40x = 168,836.88
  5. Step 5: Solve for x
    x = 168,836.88/422.40
  6. Step 6: Final answer
    x = 399.71

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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.