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Finding the Fourth Proportional to 493.08, 680.30 and 286.04

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Solution

The fourth proportional to 493.08, 680.30 and 286.04 is: 394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.08 : 680.30 = 286.04 : x
  2. Step 2: Convert to fraction form
    493.08/680.30 = 286.04/x
  3. Step 3: Cross multiply
    493.08x = 680.30 × 286.04
  4. Step 4: Simplify right side
    493.08x = 194,593.01
  5. Step 5: Solve for x
    x = 194,593.01/493.08
  6. Step 6: Final answer
    x = 394.65

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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.