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Finding the Fourth Proportional to 255.18, 381.89 and 187.14

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Solution

The fourth proportional to 255.18, 381.89 and 187.14 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.18 : 381.89 = 187.14 : x
  2. Step 2: Convert to fraction form
    255.18/381.89 = 187.14/x
  3. Step 3: Cross multiply
    255.18x = 381.89 × 187.14
  4. Step 4: Simplify right side
    255.18x = 71,465.96
  5. Step 5: Solve for x
    x = 71,465.96/255.18
  6. Step 6: Final answer
    x = 280.06

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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.