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Finding the Fourth Proportional to 255.19, 381.61 and 190.23

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Solution

The fourth proportional to 255.19, 381.61 and 190.23 is: 284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.19 : 381.61 = 190.23 : x
  2. Step 2: Convert to fraction form
    255.19/381.61 = 190.23/x
  3. Step 3: Cross multiply
    255.19x = 381.61 × 190.23
  4. Step 4: Simplify right side
    255.19x = 72,594.98
  5. Step 5: Solve for x
    x = 72,594.98/255.19
  6. Step 6: Final answer
    x = 284.48

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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.