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Finding the Fourth Proportional to 311.21, 429.38 and 193.20

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Solution

The fourth proportional to 311.21, 429.38 and 193.20 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.21 : 429.38 = 193.20 : x
  2. Step 2: Convert to fraction form
    311.21/429.38 = 193.20/x
  3. Step 3: Cross multiply
    311.21x = 429.38 × 193.20
  4. Step 4: Simplify right side
    311.21x = 82,956.22
  5. Step 5: Solve for x
    x = 82,956.22/311.21
  6. Step 6: Final answer
    x = 266.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.