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Finding the Fourth Proportional to 422.62, 633.90 and 230.25

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Solution

The fourth proportional to 422.62, 633.90 and 230.25 is: 345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.62 : 633.90 = 230.25 : x
  2. Step 2: Convert to fraction form
    422.62/633.90 = 230.25/x
  3. Step 3: Cross multiply
    422.62x = 633.90 × 230.25
  4. Step 4: Simplify right side
    422.62x = 145,955.48
  5. Step 5: Solve for x
    x = 145,955.48/422.62
  6. Step 6: Final answer
    x = 345.36

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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.