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Finding the Fourth Proportional to 193.43, 291.38 and 188.57

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Solution

The fourth proportional to 193.43, 291.38 and 188.57 is: 284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.43 : 291.38 = 188.57 : x
  2. Step 2: Convert to fraction form
    193.43/291.38 = 188.57/x
  3. Step 3: Cross multiply
    193.43x = 291.38 × 188.57
  4. Step 4: Simplify right side
    193.43x = 54,945.53
  5. Step 5: Solve for x
    x = 54,945.53/193.43
  6. Step 6: Final answer
    x = 284.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.