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Finding the Fourth Proportional to 383.72, 574.96 and 140.12

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Solution

The fourth proportional to 383.72, 574.96 and 140.12 is: 209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.72 : 574.96 = 140.12 : x
  2. Step 2: Convert to fraction form
    383.72/574.96 = 140.12/x
  3. Step 3: Cross multiply
    383.72x = 574.96 × 140.12
  4. Step 4: Simplify right side
    383.72x = 80,563.40
  5. Step 5: Solve for x
    x = 80,563.40/383.72
  6. Step 6: Final answer
    x = 209.95

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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.