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Finding the Fourth Proportional to 422.02, 582.36 and 247.46

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Solution

The fourth proportional to 422.02, 582.36 and 247.46 is: 341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.02 : 582.36 = 247.46 : x
  2. Step 2: Convert to fraction form
    422.02/582.36 = 247.46/x
  3. Step 3: Cross multiply
    422.02x = 582.36 × 247.46
  4. Step 4: Simplify right side
    422.02x = 144,110.81
  5. Step 5: Solve for x
    x = 144,110.81/422.02
  6. Step 6: Final answer
    x = 341.48

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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.