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Finding the Fourth Proportional to 193.68, 289.03 and 173.18

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Solution

The fourth proportional to 193.68, 289.03 and 173.18 is: 258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.68 : 289.03 = 173.18 : x
  2. Step 2: Convert to fraction form
    193.68/289.03 = 173.18/x
  3. Step 3: Cross multiply
    193.68x = 289.03 × 173.18
  4. Step 4: Simplify right side
    193.68x = 50,054.22
  5. Step 5: Solve for x
    x = 50,054.22/193.68
  6. Step 6: Final answer
    x = 258.44

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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.