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Finding the Fourth Proportional to 422.34, 633.39 and 158.77

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Solution

The fourth proportional to 422.34, 633.39 and 158.77 is: 238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.34 : 633.39 = 158.77 : x
  2. Step 2: Convert to fraction form
    422.34/633.39 = 158.77/x
  3. Step 3: Cross multiply
    422.34x = 633.39 × 158.77
  4. Step 4: Simplify right side
    422.34x = 100,563.33
  5. Step 5: Solve for x
    x = 100,563.33/422.34
  6. Step 6: Final answer
    x = 238.11

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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.