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Finding the Fourth Proportional to 422.05, 582.14 and 247.39

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Solution

The fourth proportional to 422.05, 582.14 and 247.39 is: 341.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.05 : 582.14 = 247.39 : x
  2. Step 2: Convert to fraction form
    422.05/582.14 = 247.39/x
  3. Step 3: Cross multiply
    422.05x = 582.14 × 247.39
  4. Step 4: Simplify right side
    422.05x = 144,011.47
  5. Step 5: Solve for x
    x = 144,011.47/422.05
  6. Step 6: Final answer
    x = 341.22

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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.