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Finding the Fourth Proportional to 255.43, 381.83 and 189.82

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Solution

The fourth proportional to 255.43, 381.83 and 189.82 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.43 : 381.83 = 189.82 : x
  2. Step 2: Convert to fraction form
    255.43/381.83 = 189.82/x
  3. Step 3: Cross multiply
    255.43x = 381.83 × 189.82
  4. Step 4: Simplify right side
    255.43x = 72,478.50
  5. Step 5: Solve for x
    x = 72,478.50/255.43
  6. Step 6: Final answer
    x = 283.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.