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Finding the Fourth Proportional to 193.82, 265.33 and 187.62

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Solution

The fourth proportional to 193.82, 265.33 and 187.62 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.82 : 265.33 = 187.62 : x
  2. Step 2: Convert to fraction form
    193.82/265.33 = 187.62/x
  3. Step 3: Cross multiply
    193.82x = 265.33 × 187.62
  4. Step 4: Simplify right side
    193.82x = 49,781.21
  5. Step 5: Solve for x
    x = 49,781.21/193.82
  6. Step 6: Final answer
    x = 256.84

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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.