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Finding the Fourth Proportional to 493.62, 680.96 and 286.50

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Solution

The fourth proportional to 493.62, 680.96 and 286.50 is: 395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.62 : 680.96 = 286.50 : x
  2. Step 2: Convert to fraction form
    493.62/680.96 = 286.50/x
  3. Step 3: Cross multiply
    493.62x = 680.96 × 286.50
  4. Step 4: Simplify right side
    493.62x = 195,095.04
  5. Step 5: Solve for x
    x = 195,095.04/493.62
  6. Step 6: Final answer
    x = 395.23

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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.