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Finding the Fourth Proportional to 143.21, 197.50 and 106.46

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Solution

The fourth proportional to 143.21, 197.50 and 106.46 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.21 : 197.50 = 106.46 : x
  2. Step 2: Convert to fraction form
    143.21/197.50 = 106.46/x
  3. Step 3: Cross multiply
    143.21x = 197.50 × 106.46
  4. Step 4: Simplify right side
    143.21x = 21,025.85
  5. Step 5: Solve for x
    x = 21,025.85/143.21
  6. Step 6: Final answer
    x = 146.82

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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.