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Finding the Fourth Proportional to 255.62, 383.20 and 133.97

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Solution

The fourth proportional to 255.62, 383.20 and 133.97 is: 200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.62 : 383.20 = 133.97 : x
  2. Step 2: Convert to fraction form
    255.62/383.20 = 133.97/x
  3. Step 3: Cross multiply
    255.62x = 383.20 × 133.97
  4. Step 4: Simplify right side
    255.62x = 51,337.30
  5. Step 5: Solve for x
    x = 51,337.30/255.62
  6. Step 6: Final answer
    x = 200.83

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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.