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Finding the Fourth Proportional to 193.88, 290.73 and 78.28

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Solution

The fourth proportional to 193.88, 290.73 and 78.28 is: 117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.88 : 290.73 = 78.28 : x
  2. Step 2: Convert to fraction form
    193.88/290.73 = 78.28/x
  3. Step 3: Cross multiply
    193.88x = 290.73 × 78.28
  4. Step 4: Simplify right side
    193.88x = 22,756.89
  5. Step 5: Solve for x
    x = 22,756.89/193.88
  6. Step 6: Final answer
    x = 117.38

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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.