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Finding the Fourth Proportional to 197.28, 295.20 and 128.48

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Solution

The fourth proportional to 197.28, 295.20 and 128.48 is: 192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.28 : 295.20 = 128.48 : x
  2. Step 2: Convert to fraction form
    197.28/295.20 = 128.48/x
  3. Step 3: Cross multiply
    197.28x = 295.20 × 128.48
  4. Step 4: Simplify right side
    197.28x = 37,927.30
  5. Step 5: Solve for x
    x = 37,927.30/197.28
  6. Step 6: Final answer
    x = 192.25

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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.