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Finding the Fourth Proportional to 193.32, 265.97 and 187.85

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Solution

The fourth proportional to 193.32, 265.97 and 187.85 is: 258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.32 : 265.97 = 187.85 : x
  2. Step 2: Convert to fraction form
    193.32/265.97 = 187.85/x
  3. Step 3: Cross multiply
    193.32x = 265.97 × 187.85
  4. Step 4: Simplify right side
    193.32x = 49,960.20
  5. Step 5: Solve for x
    x = 49,960.20/193.32
  6. Step 6: Final answer
    x = 258.43

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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.