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Finding the Fourth Proportional to 193.84, 289.25 and 173.40

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Solution

The fourth proportional to 193.84, 289.25 and 173.40 is: 258.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 289.25 = 173.40 : x
  2. Step 2: Convert to fraction form
    193.84/289.25 = 173.40/x
  3. Step 3: Cross multiply
    193.84x = 289.25 × 173.40
  4. Step 4: Simplify right side
    193.84x = 50,155.95
  5. Step 5: Solve for x
    x = 50,155.95/193.84
  6. Step 6: Final answer
    x = 258.75

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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.