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Finding the Fourth Proportional to 496, 744.24 and 207.68

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Solution

The fourth proportional to 496, 744.24 and 207.68 is: 311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 744.24 = 207.68 : x
  2. Step 2: Convert to fraction form
    496/744.24 = 207.68/x
  3. Step 3: Cross multiply
    496x = 744.24 × 207.68
  4. Step 4: Simplify right side
    496x = 154,563.76
  5. Step 5: Solve for x
    x = 154,563.76/496
  6. Step 6: Final answer
    x = 311.62

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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.