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Finding the Fourth Proportional to 362.31, 543.20 and 199.86

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Solution

The fourth proportional to 362.31, 543.20 and 199.86 is: 299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.31 : 543.20 = 199.86 : x
  2. Step 2: Convert to fraction form
    362.31/543.20 = 199.86/x
  3. Step 3: Cross multiply
    362.31x = 543.20 × 199.86
  4. Step 4: Simplify right side
    362.31x = 108,562.95
  5. Step 5: Solve for x
    x = 108,562.95/362.31
  6. Step 6: Final answer
    x = 299.64

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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.