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Finding the Fourth Proportional to 311.82, 430.52 and 199.84

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Solution

The fourth proportional to 311.82, 430.52 and 199.84 is: 275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.82 : 430.52 = 199.84 : x
  2. Step 2: Convert to fraction form
    311.82/430.52 = 199.84/x
  3. Step 3: Cross multiply
    311.82x = 430.52 × 199.84
  4. Step 4: Simplify right side
    311.82x = 86,035.12
  5. Step 5: Solve for x
    x = 86,035.12/311.82
  6. Step 6: Final answer
    x = 275.91

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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.