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Finding the Fourth Proportional to 667.28, 1,000.90 and 180.37

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Solution

The fourth proportional to 667.28, 1,000.90 and 180.37 is: 270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.28 : 1,000.90 = 180.37 : x
  2. Step 2: Convert to fraction form
    667.28/1,000.90 = 180.37/x
  3. Step 3: Cross multiply
    667.28x = 1,000.90 × 180.37
  4. Step 4: Simplify right side
    667.28x = 180,532.33
  5. Step 5: Solve for x
    x = 180,532.33/667.28
  6. Step 6: Final answer
    x = 270.55

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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.