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Finding the Fourth Proportional to 193.87, 290.90 and 128.92

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Solution

The fourth proportional to 193.87, 290.90 and 128.92 is: 193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.87 : 290.90 = 128.92 : x
  2. Step 2: Convert to fraction form
    193.87/290.90 = 128.92/x
  3. Step 3: Cross multiply
    193.87x = 290.90 × 128.92
  4. Step 4: Simplify right side
    193.87x = 37,502.12
  5. Step 5: Solve for x
    x = 37,502.12/193.87
  6. Step 6: Final answer
    x = 193.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.