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Finding the Fourth Proportional to 193.79, 290.30 and 153.09

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Solution

The fourth proportional to 193.79, 290.30 and 153.09 is: 229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 290.30 = 153.09 : x
  2. Step 2: Convert to fraction form
    193.79/290.30 = 153.09/x
  3. Step 3: Cross multiply
    193.79x = 290.30 × 153.09
  4. Step 4: Simplify right side
    193.79x = 44,442.03
  5. Step 5: Solve for x
    x = 44,442.03/193.79
  6. Step 6: Final answer
    x = 229.33

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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.