Home / 496.23-743.94-187.90

Finding the Fourth Proportional to 496.23, 743.94 and 187.90

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Solution

The fourth proportional to 496.23, 743.94 and 187.90 is: 281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.23 : 743.94 = 187.90 : x
  2. Step 2: Convert to fraction form
    496.23/743.94 = 187.90/x
  3. Step 3: Cross multiply
    496.23x = 743.94 × 187.90
  4. Step 4: Simplify right side
    496.23x = 139,786.33
  5. Step 5: Solve for x
    x = 139,786.33/496.23
  6. Step 6: Final answer
    x = 281.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.