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Finding the Fourth Proportional to 255.97, 381.49 and 255.57

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Solution

The fourth proportional to 255.97, 381.49 and 255.57 is: 380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.97 : 381.49 = 255.57 : x
  2. Step 2: Convert to fraction form
    255.97/381.49 = 255.57/x
  3. Step 3: Cross multiply
    255.97x = 381.49 × 255.57
  4. Step 4: Simplify right side
    255.97x = 97,497.40
  5. Step 5: Solve for x
    x = 97,497.40/255.97
  6. Step 6: Final answer
    x = 380.89

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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.