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Finding the Fourth Proportional to 493.16, 680.57 and 306.73

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Solution

The fourth proportional to 493.16, 680.57 and 306.73 is: 423.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.16 : 680.57 = 306.73 : x
  2. Step 2: Convert to fraction form
    493.16/680.57 = 306.73/x
  3. Step 3: Cross multiply
    493.16x = 680.57 × 306.73
  4. Step 4: Simplify right side
    493.16x = 208,751.24
  5. Step 5: Solve for x
    x = 208,751.24/493.16
  6. Step 6: Final answer
    x = 423.29

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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.