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Finding the Fourth Proportional to 193.72, 289.01 and 172.12

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Solution

The fourth proportional to 193.72, 289.01 and 172.12 is: 256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.72 : 289.01 = 172.12 : x
  2. Step 2: Convert to fraction form
    193.72/289.01 = 172.12/x
  3. Step 3: Cross multiply
    193.72x = 289.01 × 172.12
  4. Step 4: Simplify right side
    193.72x = 49,744.40
  5. Step 5: Solve for x
    x = 49,744.40/193.72
  6. Step 6: Final answer
    x = 256.79

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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.