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Finding the Fourth Proportional to 197.18, 295.14 and 127.81

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Solution

The fourth proportional to 197.18, 295.14 and 127.81 is: 191.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.18 : 295.14 = 127.81 : x
  2. Step 2: Convert to fraction form
    197.18/295.14 = 127.81/x
  3. Step 3: Cross multiply
    197.18x = 295.14 × 127.81
  4. Step 4: Simplify right side
    197.18x = 37,722.69
  5. Step 5: Solve for x
    x = 37,722.69/197.18
  6. Step 6: Final answer
    x = 191.31

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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.