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Finding the Fourth Proportional to 255.39, 352.30 and 193.11

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Solution

The fourth proportional to 255.39, 352.30 and 193.11 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.39 : 352.30 = 193.11 : x
  2. Step 2: Convert to fraction form
    255.39/352.30 = 193.11/x
  3. Step 3: Cross multiply
    255.39x = 352.30 × 193.11
  4. Step 4: Simplify right side
    255.39x = 68,031.21
  5. Step 5: Solve for x
    x = 68,031.21/255.39
  6. Step 6: Final answer
    x = 266.39

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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.