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Finding the Fourth Proportional to 495.30, 683.06 and 308.73

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Solution

The fourth proportional to 495.30, 683.06 and 308.73 is: 425.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.30 : 683.06 = 308.73 : x
  2. Step 2: Convert to fraction form
    495.30/683.06 = 308.73/x
  3. Step 3: Cross multiply
    495.30x = 683.06 × 308.73
  4. Step 4: Simplify right side
    495.30x = 210,879.57
  5. Step 5: Solve for x
    x = 210,879.57/495.30
  6. Step 6: Final answer
    x = 425.76

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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.