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Finding the Fourth Proportional to 208.08, 311.52 and 199.20

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Solution

The fourth proportional to 208.08, 311.52 and 199.20 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.08 : 311.52 = 199.20 : x
  2. Step 2: Convert to fraction form
    208.08/311.52 = 199.20/x
  3. Step 3: Cross multiply
    208.08x = 311.52 × 199.20
  4. Step 4: Simplify right side
    208.08x = 62,054.78
  5. Step 5: Solve for x
    x = 62,054.78/208.08
  6. Step 6: Final answer
    x = 298.23

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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.