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Finding the Fourth Proportional to 372.89, 558.86 and 199.64

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Solution

The fourth proportional to 372.89, 558.86 and 199.64 is: 299.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.89 : 558.86 = 199.64 : x
  2. Step 2: Convert to fraction form
    372.89/558.86 = 199.64/x
  3. Step 3: Cross multiply
    372.89x = 558.86 × 199.64
  4. Step 4: Simplify right side
    372.89x = 111,571.21
  5. Step 5: Solve for x
    x = 111,571.21/372.89
  6. Step 6: Final answer
    x = 299.20

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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.