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Finding the Fourth Proportional to 499.11, 747.86 and 293.87

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Solution

The fourth proportional to 499.11, 747.86 and 293.87 is: 440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.11 : 747.86 = 293.87 : x
  2. Step 2: Convert to fraction form
    499.11/747.86 = 293.87/x
  3. Step 3: Cross multiply
    499.11x = 747.86 × 293.87
  4. Step 4: Simplify right side
    499.11x = 219,768.41
  5. Step 5: Solve for x
    x = 219,768.41/499.11
  6. Step 6: Final answer
    x = 440.32

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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.