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Finding the Fourth Proportional to 280.80, 385.42 and 249.01

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Solution

The fourth proportional to 280.80, 385.42 and 249.01 is: 341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.80 : 385.42 = 249.01 : x
  2. Step 2: Convert to fraction form
    280.80/385.42 = 249.01/x
  3. Step 3: Cross multiply
    280.80x = 385.42 × 249.01
  4. Step 4: Simplify right side
    280.80x = 95,973.43
  5. Step 5: Solve for x
    x = 95,973.43/280.80
  6. Step 6: Final answer
    x = 341.79

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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.