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Finding the Fourth Proportional to 422.37, 633.02 and 178.56

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Solution

The fourth proportional to 422.37, 633.02 and 178.56 is: 267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.37 : 633.02 = 178.56 : x
  2. Step 2: Convert to fraction form
    422.37/633.02 = 178.56/x
  3. Step 3: Cross multiply
    422.37x = 633.02 × 178.56
  4. Step 4: Simplify right side
    422.37x = 113,031.16
  5. Step 5: Solve for x
    x = 113,031.16/422.37
  6. Step 6: Final answer
    x = 267.61

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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.