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Finding the Fourth Proportional to 193.86, 265.97 and 189.06

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Solution

The fourth proportional to 193.86, 265.97 and 189.06 is: 259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.86 : 265.97 = 189.06 : x
  2. Step 2: Convert to fraction form
    193.86/265.97 = 189.06/x
  3. Step 3: Cross multiply
    193.86x = 265.97 × 189.06
  4. Step 4: Simplify right side
    193.86x = 50,283.34
  5. Step 5: Solve for x
    x = 50,283.34/193.86
  6. Step 6: Final answer
    x = 259.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.