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Finding the Fourth Proportional to 143.12, 213.60 and 132.88

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Solution

The fourth proportional to 143.12, 213.60 and 132.88 is: 198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.12 : 213.60 = 132.88 : x
  2. Step 2: Convert to fraction form
    143.12/213.60 = 132.88/x
  3. Step 3: Cross multiply
    143.12x = 213.60 × 132.88
  4. Step 4: Simplify right side
    143.12x = 28,383.17
  5. Step 5: Solve for x
    x = 28,383.17/143.12
  6. Step 6: Final answer
    x = 198.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.