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Finding the Fourth Proportional to 143.38, 197.64 and 106.48

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Solution

The fourth proportional to 143.38, 197.64 and 106.48 is: 146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.38 : 197.64 = 106.48 : x
  2. Step 2: Convert to fraction form
    143.38/197.64 = 106.48/x
  3. Step 3: Cross multiply
    143.38x = 197.64 × 106.48
  4. Step 4: Simplify right side
    143.38x = 21,044.71
  5. Step 5: Solve for x
    x = 21,044.71/143.38
  6. Step 6: Final answer
    x = 146.78

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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.