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Finding the Fourth Proportional to 422.01, 582.45 and 282.15

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Solution

The fourth proportional to 422.01, 582.45 and 282.15 is: 389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.01 : 582.45 = 282.15 : x
  2. Step 2: Convert to fraction form
    422.01/582.45 = 282.15/x
  3. Step 3: Cross multiply
    422.01x = 582.45 × 282.15
  4. Step 4: Simplify right side
    422.01x = 164,338.27
  5. Step 5: Solve for x
    x = 164,338.27/422.01
  6. Step 6: Final answer
    x = 389.42

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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.