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Finding the Fourth Proportional to 280.20, 418.65 and 280.20

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Solution

The fourth proportional to 280.20, 418.65 and 280.20 is: 418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 418.65 = 280.20 : x
  2. Step 2: Convert to fraction form
    280.20/418.65 = 280.20/x
  3. Step 3: Cross multiply
    280.20x = 418.65 × 280.20
  4. Step 4: Simplify right side
    280.20x = 117,305.73
  5. Step 5: Solve for x
    x = 117,305.73/280.20
  6. Step 6: Final answer
    x = 418.65

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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.