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Finding the Fourth Proportional to 280.92, 420.93 and 199.62

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Solution

The fourth proportional to 280.92, 420.93 and 199.62 is: 299.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.92 : 420.93 = 199.62 : x
  2. Step 2: Convert to fraction form
    280.92/420.93 = 199.62/x
  3. Step 3: Cross multiply
    280.92x = 420.93 × 199.62
  4. Step 4: Simplify right side
    280.92x = 84,026.05
  5. Step 5: Solve for x
    x = 84,026.05/280.92
  6. Step 6: Final answer
    x = 299.11

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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.