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Finding the Fourth Proportional to 193.38, 288.56 and 172.87

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Solution

The fourth proportional to 193.38, 288.56 and 172.87 is: 257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 288.56 = 172.87 : x
  2. Step 2: Convert to fraction form
    193.38/288.56 = 172.87/x
  3. Step 3: Cross multiply
    193.38x = 288.56 × 172.87
  4. Step 4: Simplify right side
    193.38x = 49,883.37
  5. Step 5: Solve for x
    x = 49,883.37/193.38
  6. Step 6: Final answer
    x = 257.96

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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.