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Finding the Fourth Proportional to 197.47, 296.31 and 94.69

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Solution

The fourth proportional to 197.47, 296.31 and 94.69 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.47 : 296.31 = 94.69 : x
  2. Step 2: Convert to fraction form
    197.47/296.31 = 94.69/x
  3. Step 3: Cross multiply
    197.47x = 296.31 × 94.69
  4. Step 4: Simplify right side
    197.47x = 28,057.59
  5. Step 5: Solve for x
    x = 28,057.59/197.47
  6. Step 6: Final answer
    x = 142.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.