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Finding the Fourth Proportional to 422.32, 633.60 and 178.88

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Solution

The fourth proportional to 422.32, 633.60 and 178.88 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.32 : 633.60 = 178.88 : x
  2. Step 2: Convert to fraction form
    422.32/633.60 = 178.88/x
  3. Step 3: Cross multiply
    422.32x = 633.60 × 178.88
  4. Step 4: Simplify right side
    422.32x = 113,338.37
  5. Step 5: Solve for x
    x = 113,338.37/422.32
  6. Step 6: Final answer
    x = 268.37

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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.