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Finding the Fourth Proportional to 493.37, 681.09 and 306.92

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Solution

The fourth proportional to 493.37, 681.09 and 306.92 is: 423.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.37 : 681.09 = 306.92 : x
  2. Step 2: Convert to fraction form
    493.37/681.09 = 306.92/x
  3. Step 3: Cross multiply
    493.37x = 681.09 × 306.92
  4. Step 4: Simplify right side
    493.37x = 209,039.59
  5. Step 5: Solve for x
    x = 209,039.59/493.37
  6. Step 6: Final answer
    x = 423.70

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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.