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Finding the Fourth Proportional to 422.31, 633.36 and 162.35

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Solution

The fourth proportional to 422.31, 633.36 and 162.35 is: 243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.31 : 633.36 = 162.35 : x
  2. Step 2: Convert to fraction form
    422.31/633.36 = 162.35/x
  3. Step 3: Cross multiply
    422.31x = 633.36 × 162.35
  4. Step 4: Simplify right side
    422.31x = 102,826.00
  5. Step 5: Solve for x
    x = 102,826.00/422.31
  6. Step 6: Final answer
    x = 243.48

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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.