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Finding the Fourth Proportional to 143.70, 198.63 and 132.36

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Solution

The fourth proportional to 143.70, 198.63 and 132.36 is: 182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.70 : 198.63 = 132.36 : x
  2. Step 2: Convert to fraction form
    143.70/198.63 = 132.36/x
  3. Step 3: Cross multiply
    143.70x = 198.63 × 132.36
  4. Step 4: Simplify right side
    143.70x = 26,290.67
  5. Step 5: Solve for x
    x = 26,290.67/143.70
  6. Step 6: Final answer
    x = 182.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.