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Finding the Fourth Proportional to 193.50, 288.60 and 173.03

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Solution

The fourth proportional to 193.50, 288.60 and 173.03 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.50 : 288.60 = 173.03 : x
  2. Step 2: Convert to fraction form
    193.50/288.60 = 173.03/x
  3. Step 3: Cross multiply
    193.50x = 288.60 × 173.03
  4. Step 4: Simplify right side
    193.50x = 49,935.02
  5. Step 5: Solve for x
    x = 49,935.02/193.50
  6. Step 6: Final answer
    x = 258.06

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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.