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Finding the Fourth Proportional to 422.34, 631.65 and 248.58

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Solution

The fourth proportional to 422.34, 631.65 and 248.58 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 631.65 = 248.58 : x
  2. Step 2: Convert to fraction form
    422.34/631.65 = 248.58/x
  3. Step 3: Cross multiply
    422.34x = 631.65 × 248.58
  4. Step 4: Simplify right side
    422.34x = 157,015.56
  5. Step 5: Solve for x
    x = 157,015.56/422.34
  6. Step 6: Final answer
    x = 371.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.