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Finding the Fourth Proportional to 496.21, 744.09 and 290.83

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Solution

The fourth proportional to 496.21, 744.09 and 290.83 is: 436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.21 : 744.09 = 290.83 : x
  2. Step 2: Convert to fraction form
    496.21/744.09 = 290.83/x
  3. Step 3: Cross multiply
    496.21x = 744.09 × 290.83
  4. Step 4: Simplify right side
    496.21x = 216,403.69
  5. Step 5: Solve for x
    x = 216,403.69/496.21
  6. Step 6: Final answer
    x = 436.11

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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.