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Finding the Fourth Proportional to 254.92, 381.18 and 186.28

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Solution

The fourth proportional to 254.92, 381.18 and 186.28 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.92 : 381.18 = 186.28 : x
  2. Step 2: Convert to fraction form
    254.92/381.18 = 186.28/x
  3. Step 3: Cross multiply
    254.92x = 381.18 × 186.28
  4. Step 4: Simplify right side
    254.92x = 71,006.21
  5. Step 5: Solve for x
    x = 71,006.21/254.92
  6. Step 6: Final answer
    x = 278.54

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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.