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Finding the Fourth Proportional to 422.48, 582.08 and 284.24

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Solution

The fourth proportional to 422.48, 582.08 and 284.24 is: 391.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 582.08 = 284.24 : x
  2. Step 2: Convert to fraction form
    422.48/582.08 = 284.24/x
  3. Step 3: Cross multiply
    422.48x = 582.08 × 284.24
  4. Step 4: Simplify right side
    422.48x = 165,450.42
  5. Step 5: Solve for x
    x = 165,450.42/422.48
  6. Step 6: Final answer
    x = 391.62

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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.