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Finding the Fourth Proportional to 197.39, 293.43 and 191.57

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Solution

The fourth proportional to 197.39, 293.43 and 191.57 is: 284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.39 : 293.43 = 191.57 : x
  2. Step 2: Convert to fraction form
    197.39/293.43 = 191.57/x
  3. Step 3: Cross multiply
    197.39x = 293.43 × 191.57
  4. Step 4: Simplify right side
    197.39x = 56,210.92
  5. Step 5: Solve for x
    x = 56,210.92/197.39
  6. Step 6: Final answer
    x = 284.78

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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.