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Finding the Fourth Proportional to 193.83, 289.16 and 173.31

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Solution

The fourth proportional to 193.83, 289.16 and 173.31 is: 258.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.83 : 289.16 = 173.31 : x
  2. Step 2: Convert to fraction form
    193.83/289.16 = 173.31/x
  3. Step 3: Cross multiply
    193.83x = 289.16 × 173.31
  4. Step 4: Simplify right side
    193.83x = 50,113.45
  5. Step 5: Solve for x
    x = 50,113.45/193.83
  6. Step 6: Final answer
    x = 258.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.