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Finding the Fourth Proportional to 499.09, 747.84 and 190.76

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Solution

The fourth proportional to 499.09, 747.84 and 190.76 is: 285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.09 : 747.84 = 190.76 : x
  2. Step 2: Convert to fraction form
    499.09/747.84 = 190.76/x
  3. Step 3: Cross multiply
    499.09x = 747.84 × 190.76
  4. Step 4: Simplify right side
    499.09x = 142,657.96
  5. Step 5: Solve for x
    x = 142,657.96/499.09
  6. Step 6: Final answer
    x = 285.84

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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.