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Finding the Fourth Proportional to 440.21, 660.31 and 132.05

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Solution

The fourth proportional to 440.21, 660.31 and 132.05 is: 198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.21 : 660.31 = 132.05 : x
  2. Step 2: Convert to fraction form
    440.21/660.31 = 132.05/x
  3. Step 3: Cross multiply
    440.21x = 660.31 × 132.05
  4. Step 4: Simplify right side
    440.21x = 87,195.26
  5. Step 5: Solve for x
    x = 87,195.26/440.21
  6. Step 6: Final answer
    x = 198.08

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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.