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Finding the Fourth Proportional to 320.91, 481.52 and 199.14

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Solution

The fourth proportional to 320.91, 481.52 and 199.14 is: 298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.91 : 481.52 = 199.14 : x
  2. Step 2: Convert to fraction form
    320.91/481.52 = 199.14/x
  3. Step 3: Cross multiply
    320.91x = 481.52 × 199.14
  4. Step 4: Simplify right side
    320.91x = 95,889.89
  5. Step 5: Solve for x
    x = 95,889.89/320.91
  6. Step 6: Final answer
    x = 298.81

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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.