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Finding the Fourth Proportional to 255.51, 381.85 and 187.20

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Solution

The fourth proportional to 255.51, 381.85 and 187.20 is: 279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.51 : 381.85 = 187.20 : x
  2. Step 2: Convert to fraction form
    255.51/381.85 = 187.20/x
  3. Step 3: Cross multiply
    255.51x = 381.85 × 187.20
  4. Step 4: Simplify right side
    255.51x = 71,481.85
  5. Step 5: Solve for x
    x = 71,481.85/255.51
  6. Step 6: Final answer
    x = 279.76

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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.