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Finding the Fourth Proportional to 255.78, 353.38 and 191.12

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Solution

The fourth proportional to 255.78, 353.38 and 191.12 is: 264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.78 : 353.38 = 191.12 : x
  2. Step 2: Convert to fraction form
    255.78/353.38 = 191.12/x
  3. Step 3: Cross multiply
    255.78x = 353.38 × 191.12
  4. Step 4: Simplify right side
    255.78x = 67,537.99
  5. Step 5: Solve for x
    x = 67,537.99/255.78
  6. Step 6: Final answer
    x = 264.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.