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Finding the Fourth Proportional to 258.83, 387.44 and 193.44

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Solution

The fourth proportional to 258.83, 387.44 and 193.44 is: 289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.83 : 387.44 = 193.44 : x
  2. Step 2: Convert to fraction form
    258.83/387.44 = 193.44/x
  3. Step 3: Cross multiply
    258.83x = 387.44 × 193.44
  4. Step 4: Simplify right side
    258.83x = 74,947.60
  5. Step 5: Solve for x
    x = 74,947.60/258.83
  6. Step 6: Final answer
    x = 289.56

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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.