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Finding the Fourth Proportional to 255.14, 381.99 and 173.83

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Solution

The fourth proportional to 255.14, 381.99 and 173.83 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.14 : 381.99 = 173.83 : x
  2. Step 2: Convert to fraction form
    255.14/381.99 = 173.83/x
  3. Step 3: Cross multiply
    255.14x = 381.99 × 173.83
  4. Step 4: Simplify right side
    255.14x = 66,401.32
  5. Step 5: Solve for x
    x = 66,401.32/255.14
  6. Step 6: Final answer
    x = 260.25

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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.