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Finding the Fourth Proportional to 143.24, 213.50 and 132.84

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Solution

The fourth proportional to 143.24, 213.50 and 132.84 is: 198.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.24 : 213.50 = 132.84 : x
  2. Step 2: Convert to fraction form
    143.24/213.50 = 132.84/x
  3. Step 3: Cross multiply
    143.24x = 213.50 × 132.84
  4. Step 4: Simplify right side
    143.24x = 28,361.34
  5. Step 5: Solve for x
    x = 28,361.34/143.24
  6. Step 6: Final answer
    x = 198.00

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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.