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Finding the Fourth Proportional to 197.22, 294.56 and 142.95

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Solution

The fourth proportional to 197.22, 294.56 and 142.95 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.22 : 294.56 = 142.95 : x
  2. Step 2: Convert to fraction form
    197.22/294.56 = 142.95/x
  3. Step 3: Cross multiply
    197.22x = 294.56 × 142.95
  4. Step 4: Simplify right side
    197.22x = 42,107.71
  5. Step 5: Solve for x
    x = 42,107.71/197.22
  6. Step 6: Final answer
    x = 213.51

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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.