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Finding the Fourth Proportional to 280.96, 387.31 and 241.44

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Solution

The fourth proportional to 280.96, 387.31 and 241.44 is: 332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.96 : 387.31 = 241.44 : x
  2. Step 2: Convert to fraction form
    280.96/387.31 = 241.44/x
  3. Step 3: Cross multiply
    280.96x = 387.31 × 241.44
  4. Step 4: Simplify right side
    280.96x = 93,512.13
  5. Step 5: Solve for x
    x = 93,512.13/280.96
  6. Step 6: Final answer
    x = 332.83

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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.