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Finding the Fourth Proportional to 496.02, 744.13 and 187.86

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Solution

The fourth proportional to 496.02, 744.13 and 187.86 is: 281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 744.13 = 187.86 : x
  2. Step 2: Convert to fraction form
    496.02/744.13 = 187.86/x
  3. Step 3: Cross multiply
    496.02x = 744.13 × 187.86
  4. Step 4: Simplify right side
    496.02x = 139,794.12
  5. Step 5: Solve for x
    x = 139,794.12/496.02
  6. Step 6: Final answer
    x = 281.83

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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.