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Finding the Fourth Proportional to 280.43, 418.98 and 270.86

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Solution

The fourth proportional to 280.43, 418.98 and 270.86 is: 404.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.43 : 418.98 = 270.86 : x
  2. Step 2: Convert to fraction form
    280.43/418.98 = 270.86/x
  3. Step 3: Cross multiply
    280.43x = 418.98 × 270.86
  4. Step 4: Simplify right side
    280.43x = 113,484.92
  5. Step 5: Solve for x
    x = 113,484.92/280.43
  6. Step 6: Final answer
    x = 404.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.