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Finding the Fourth Proportional to 496.07, 743.34 and 264.99

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Solution

The fourth proportional to 496.07, 743.34 and 264.99 is: 397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.07 : 743.34 = 264.99 : x
  2. Step 2: Convert to fraction form
    496.07/743.34 = 264.99/x
  3. Step 3: Cross multiply
    496.07x = 743.34 × 264.99
  4. Step 4: Simplify right side
    496.07x = 196,977.67
  5. Step 5: Solve for x
    x = 196,977.67/496.07
  6. Step 6: Final answer
    x = 397.08

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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.