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Finding the Fourth Proportional to 197.12, 295.54 and 94.34

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Solution

The fourth proportional to 197.12, 295.54 and 94.34 is: 141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.12 : 295.54 = 94.34 : x
  2. Step 2: Convert to fraction form
    197.12/295.54 = 94.34/x
  3. Step 3: Cross multiply
    197.12x = 295.54 × 94.34
  4. Step 4: Simplify right side
    197.12x = 27,881.75
  5. Step 5: Solve for x
    x = 27,881.75/197.12
  6. Step 6: Final answer
    x = 141.44

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Why These Related Problems?

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