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Finding the Fourth Proportional to 255.52, 382.67 and 194.16

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Solution

The fourth proportional to 255.52, 382.67 and 194.16 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.52 : 382.67 = 194.16 : x
  2. Step 2: Convert to fraction form
    255.52/382.67 = 194.16/x
  3. Step 3: Cross multiply
    255.52x = 382.67 × 194.16
  4. Step 4: Simplify right side
    255.52x = 74,299.21
  5. Step 5: Solve for x
    x = 74,299.21/255.52
  6. Step 6: Final answer
    x = 290.78

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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.