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Finding the Fourth Proportional to 422.08, 582.28 and 247.33

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Solution

The fourth proportional to 422.08, 582.28 and 247.33 is: 341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.08 : 582.28 = 247.33 : x
  2. Step 2: Convert to fraction form
    422.08/582.28 = 247.33/x
  3. Step 3: Cross multiply
    422.08x = 582.28 × 247.33
  4. Step 4: Simplify right side
    422.08x = 144,015.31
  5. Step 5: Solve for x
    x = 144,015.31/422.08
  6. Step 6: Final answer
    x = 341.20

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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.