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Finding the Fourth Proportional to 193.80, 290.48 and 125.46

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Solution

The fourth proportional to 193.80, 290.48 and 125.46 is: 188.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.80 : 290.48 = 125.46 : x
  2. Step 2: Convert to fraction form
    193.80/290.48 = 125.46/x
  3. Step 3: Cross multiply
    193.80x = 290.48 × 125.46
  4. Step 4: Simplify right side
    193.80x = 36,442.99
  5. Step 5: Solve for x
    x = 36,442.99/193.80
  6. Step 6: Final answer
    x = 188.04

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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.