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Finding the Fourth Proportional to 422.48, 582.63 and 296.38

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Solution

The fourth proportional to 422.48, 582.63 and 296.38 is: 408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 582.63 = 296.38 : x
  2. Step 2: Convert to fraction form
    422.48/582.63 = 296.38/x
  3. Step 3: Cross multiply
    422.48x = 582.63 × 296.38
  4. Step 4: Simplify right side
    422.48x = 172,682.39
  5. Step 5: Solve for x
    x = 172,682.39/422.48
  6. Step 6: Final answer
    x = 408.74

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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.