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Finding the Fourth Proportional to 280.82, 387.57 and 193.61

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Solution

The fourth proportional to 280.82, 387.57 and 193.61 is: 267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.82 : 387.57 = 193.61 : x
  2. Step 2: Convert to fraction form
    280.82/387.57 = 193.61/x
  3. Step 3: Cross multiply
    280.82x = 387.57 × 193.61
  4. Step 4: Simplify right side
    280.82x = 75,037.43
  5. Step 5: Solve for x
    x = 75,037.43/280.82
  6. Step 6: Final answer
    x = 267.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.