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Finding the Fourth Proportional to 280.83, 418.86 and 267.21

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Solution

The fourth proportional to 280.83, 418.86 and 267.21 is: 398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.83 : 418.86 = 267.21 : x
  2. Step 2: Convert to fraction form
    280.83/418.86 = 267.21/x
  3. Step 3: Cross multiply
    280.83x = 418.86 × 267.21
  4. Step 4: Simplify right side
    280.83x = 111,923.58
  5. Step 5: Solve for x
    x = 111,923.58/280.83
  6. Step 6: Final answer
    x = 398.55

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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.