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Finding the Fourth Proportional to 142.97, 197.19 and 105.66

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Solution

The fourth proportional to 142.97, 197.19 and 105.66 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.97 : 197.19 = 105.66 : x
  2. Step 2: Convert to fraction form
    142.97/197.19 = 105.66/x
  3. Step 3: Cross multiply
    142.97x = 197.19 × 105.66
  4. Step 4: Simplify right side
    142.97x = 20,835.10
  5. Step 5: Solve for x
    x = 20,835.10/142.97
  6. Step 6: Final answer
    x = 145.74

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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.