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Finding the Fourth Proportional to 384.25, 576.68 and 140.80

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Solution

The fourth proportional to 384.25, 576.68 and 140.80 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.25 : 576.68 = 140.80 : x
  2. Step 2: Convert to fraction form
    384.25/576.68 = 140.80/x
  3. Step 3: Cross multiply
    384.25x = 576.68 × 140.80
  4. Step 4: Simplify right side
    384.25x = 81,194.85
  5. Step 5: Solve for x
    x = 81,194.85/384.25
  6. Step 6: Final answer
    x = 211.31

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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.