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Finding the Fourth Proportional to 193.04, 287.69 and 173.96

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Solution

The fourth proportional to 193.04, 287.69 and 173.96 is: 259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.04 : 287.69 = 173.96 : x
  2. Step 2: Convert to fraction form
    193.04/287.69 = 173.96/x
  3. Step 3: Cross multiply
    193.04x = 287.69 × 173.96
  4. Step 4: Simplify right side
    193.04x = 50,046.55
  5. Step 5: Solve for x
    x = 50,046.55/193.04
  6. Step 6: Final answer
    x = 259.25

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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.