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Finding the Fourth Proportional to 311.99, 430.37 and 193.88

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Solution

The fourth proportional to 311.99, 430.37 and 193.88 is: 267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.99 : 430.37 = 193.88 : x
  2. Step 2: Convert to fraction form
    311.99/430.37 = 193.88/x
  3. Step 3: Cross multiply
    311.99x = 430.37 × 193.88
  4. Step 4: Simplify right side
    311.99x = 83,440.14
  5. Step 5: Solve for x
    x = 83,440.14/311.99
  6. Step 6: Final answer
    x = 267.44

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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.