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Finding the Fourth Proportional to 280.78, 385.43 and 241.90

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Solution

The fourth proportional to 280.78, 385.43 and 241.90 is: 332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.78 : 385.43 = 241.90 : x
  2. Step 2: Convert to fraction form
    280.78/385.43 = 241.90/x
  3. Step 3: Cross multiply
    280.78x = 385.43 × 241.90
  4. Step 4: Simplify right side
    280.78x = 93,235.52
  5. Step 5: Solve for x
    x = 93,235.52/280.78
  6. Step 6: Final answer
    x = 332.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.