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Finding the Fourth Proportional to 499.02, 746.64 and 293.69

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Solution

The fourth proportional to 499.02, 746.64 and 293.69 is: 439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 746.64 = 293.69 : x
  2. Step 2: Convert to fraction form
    499.02/746.64 = 293.69/x
  3. Step 3: Cross multiply
    499.02x = 746.64 × 293.69
  4. Step 4: Simplify right side
    499.02x = 219,276.97
  5. Step 5: Solve for x
    x = 219,276.97/499.02
  6. Step 6: Final answer
    x = 439.42

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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.