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Finding the Fourth Proportional to 311.28, 466.92 and 128.48

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Solution

The fourth proportional to 311.28, 466.92 and 128.48 is: 192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.28 : 466.92 = 128.48 : x
  2. Step 2: Convert to fraction form
    311.28/466.92 = 128.48/x
  3. Step 3: Cross multiply
    311.28x = 466.92 × 128.48
  4. Step 4: Simplify right side
    311.28x = 59,987.55
  5. Step 5: Solve for x
    x = 59,987.55/311.28
  6. Step 6: Final answer
    x = 192.71

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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.