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Finding the Fourth Proportional to 193.72, 289.17 and 178.60

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Solution

The fourth proportional to 193.72, 289.17 and 178.60 is: 266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.72 : 289.17 = 178.60 : x
  2. Step 2: Convert to fraction form
    193.72/289.17 = 178.60/x
  3. Step 3: Cross multiply
    193.72x = 289.17 × 178.60
  4. Step 4: Simplify right side
    193.72x = 51,645.76
  5. Step 5: Solve for x
    x = 51,645.76/193.72
  6. Step 6: Final answer
    x = 266.60

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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.