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Finding the Fourth Proportional to 280.50, 421.06 and 199.10

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Solution

The fourth proportional to 280.50, 421.06 and 199.10 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.50 : 421.06 = 199.10 : x
  2. Step 2: Convert to fraction form
    280.50/421.06 = 199.10/x
  3. Step 3: Cross multiply
    280.50x = 421.06 × 199.10
  4. Step 4: Simplify right side
    280.50x = 83,833.05
  5. Step 5: Solve for x
    x = 83,833.05/280.50
  6. Step 6: Final answer
    x = 298.87

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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.