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Finding the Fourth Proportional to 433.97, 651.11 and 190.56

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Solution

The fourth proportional to 433.97, 651.11 and 190.56 is: 285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.97 : 651.11 = 190.56 : x
  2. Step 2: Convert to fraction form
    433.97/651.11 = 190.56/x
  3. Step 3: Cross multiply
    433.97x = 651.11 × 190.56
  4. Step 4: Simplify right side
    433.97x = 124,074.57
  5. Step 5: Solve for x
    x = 124,074.57/433.97
  6. Step 6: Final answer
    x = 285.91

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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.