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Finding the Fourth Proportional to 255.82, 381.02 and 254.58

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Solution

The fourth proportional to 255.82, 381.02 and 254.58 is: 379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.82 : 381.02 = 254.58 : x
  2. Step 2: Convert to fraction form
    255.82/381.02 = 254.58/x
  3. Step 3: Cross multiply
    255.82x = 381.02 × 254.58
  4. Step 4: Simplify right side
    255.82x = 97,000.07
  5. Step 5: Solve for x
    x = 97,000.07/255.82
  6. Step 6: Final answer
    x = 379.17

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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.