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Finding the Fourth Proportional to 422.76, 633.96 and 162.82

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Solution

The fourth proportional to 422.76, 633.96 and 162.82 is: 244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.76 : 633.96 = 162.82 : x
  2. Step 2: Convert to fraction form
    422.76/633.96 = 162.82/x
  3. Step 3: Cross multiply
    422.76x = 633.96 × 162.82
  4. Step 4: Simplify right side
    422.76x = 103,221.37
  5. Step 5: Solve for x
    x = 103,221.37/422.76
  6. Step 6: Final answer
    x = 244.16

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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.