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Finding the Fourth Proportional to 422.50, 633.75 and 166

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Solution

The fourth proportional to 422.50, 633.75 and 166 is: 249

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.50 : 633.75 = 166 : x
  2. Step 2: Convert to fraction form
    422.50/633.75 = 166/x
  3. Step 3: Cross multiply
    422.50x = 633.75 × 166
  4. Step 4: Simplify right side
    422.50x = 105,202.50
  5. Step 5: Solve for x
    x = 105,202.50/422.50
  6. Step 6: Final answer
    x = 249

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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.