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Finding the Fourth Proportional to 422.39, 633.61 and 178.93

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Solution

The fourth proportional to 422.39, 633.61 and 178.93 is: 268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.39 : 633.61 = 178.93 : x
  2. Step 2: Convert to fraction form
    422.39/633.61 = 178.93/x
  3. Step 3: Cross multiply
    422.39x = 633.61 × 178.93
  4. Step 4: Simplify right side
    422.39x = 113,371.84
  5. Step 5: Solve for x
    x = 113,371.84/422.39
  6. Step 6: Final answer
    x = 268.41

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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.