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Finding the Fourth Proportional to 493.11, 680.36 and 280.42

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Solution

The fourth proportional to 493.11, 680.36 and 280.42 is: 386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.11 : 680.36 = 280.42 : x
  2. Step 2: Convert to fraction form
    493.11/680.36 = 280.42/x
  3. Step 3: Cross multiply
    493.11x = 680.36 × 280.42
  4. Step 4: Simplify right side
    493.11x = 190,783.45
  5. Step 5: Solve for x
    x = 190,783.45/493.11
  6. Step 6: Final answer
    x = 386.90

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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.