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Finding the Fourth Proportional to 422.09, 582.35 and 289.20

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Solution

The fourth proportional to 422.09, 582.35 and 289.20 is: 399.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.09 : 582.35 = 289.20 : x
  2. Step 2: Convert to fraction form
    422.09/582.35 = 289.20/x
  3. Step 3: Cross multiply
    422.09x = 582.35 × 289.20
  4. Step 4: Simplify right side
    422.09x = 168,414.17
  5. Step 5: Solve for x
    x = 168,414.17/422.09
  6. Step 6: Final answer
    x = 399.01

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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.