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Finding the Fourth Proportional to 433.74, 650.15 and 330.80

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Solution

The fourth proportional to 433.74, 650.15 and 330.80 is: 495.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.74 : 650.15 = 330.80 : x
  2. Step 2: Convert to fraction form
    433.74/650.15 = 330.80/x
  3. Step 3: Cross multiply
    433.74x = 650.15 × 330.80
  4. Step 4: Simplify right side
    433.74x = 215,069.62
  5. Step 5: Solve for x
    x = 215,069.62/433.74
  6. Step 6: Final answer
    x = 495.85

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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.